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Finding the Fourth Proportional to 65,151,506.80, 97,738,319.40 and 19,712,940.40

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Solution

The fourth proportional to 65,151,506.80, 97,738,319.40 and 19,712,940.40 is: 29,572,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151,506.80 : 97,738,319.40 = 19,712,940.40 : x
  2. Step 2: Convert to fraction form
    65,151,506.80/97,738,319.40 = 19,712,940.40/x
  3. Step 3: Cross multiply
    65,151,506.80x = 97,738,319.40 × 19,712,940.40
  4. Step 4: Simplify right side
    65,151,506.80x = 1,926,709,665,128,363.75
  5. Step 5: Solve for x
    x = 1,926,709,665,128,363.75/65,151,506.80
  6. Step 6: Final answer
    x = 29,572,756.79

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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.