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Finding the Fourth Proportional to 65,280, 97,906.26 and 31,966.50

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Solution

The fourth proportional to 65,280, 97,906.26 and 31,966.50 is: 47,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,280 : 97,906.26 = 31,966.50 : x
  2. Step 2: Convert to fraction form
    65,280/97,906.26 = 31,966.50/x
  3. Step 3: Cross multiply
    65,280x = 97,906.26 × 31,966.50
  4. Step 4: Simplify right side
    65,280x = 3,129,720,460.29
  5. Step 5: Solve for x
    x = 3,129,720,460.29/65,280
  6. Step 6: Final answer
    x = 47,943.02

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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.