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Finding the Fourth Proportional to 64,849.80, 97,274.70 and 47,135.10

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Solution

The fourth proportional to 64,849.80, 97,274.70 and 47,135.10 is: 70,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.80 : 97,274.70 = 47,135.10 : x
  2. Step 2: Convert to fraction form
    64,849.80/97,274.70 = 47,135.10/x
  3. Step 3: Cross multiply
    64,849.80x = 97,274.70 × 47,135.10
  4. Step 4: Simplify right side
    64,849.80x = 4,585,052,711.97
  5. Step 5: Solve for x
    x = 4,585,052,711.97/64,849.80
  6. Step 6: Final answer
    x = 70,702.65

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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.