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Finding the Fourth Proportional to 65,204,423.80, 97,806,635.70 and 19,760,313.40

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Solution

The fourth proportional to 65,204,423.80, 97,806,635.70 and 19,760,313.40 is: 29,640,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204,423.80 : 97,806,635.70 = 19,760,313.40 : x
  2. Step 2: Convert to fraction form
    65,204,423.80/97,806,635.70 = 19,760,313.40/x
  3. Step 3: Cross multiply
    65,204,423.80x = 97,806,635.70 × 19,760,313.40
  4. Step 4: Simplify right side
    65,204,423.80x = 1,932,689,774,031,628.25
  5. Step 5: Solve for x
    x = 1,932,689,774,031,628.25/65,204,423.80
  6. Step 6: Final answer
    x = 29,640,470.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.