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Finding the Fourth Proportional to 71,638.16, 98,959.56 and 65,254.16

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Solution

The fourth proportional to 71,638.16, 98,959.56 and 65,254.16 is: 90,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,638.16 : 98,959.56 = 65,254.16 : x
  2. Step 2: Convert to fraction form
    71,638.16/98,959.56 = 65,254.16/x
  3. Step 3: Cross multiply
    71,638.16x = 98,959.56 × 65,254.16
  4. Step 4: Simplify right side
    71,638.16x = 6,457,522,961.77
  5. Step 5: Solve for x
    x = 6,457,522,961.77/71,638.16
  6. Step 6: Final answer
    x = 90,140.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.