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Finding the Fourth Proportional to 261,764.16, 392,641.92 and 64,772.16

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Solution

The fourth proportional to 261,764.16, 392,641.92 and 64,772.16 is: 97,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,764.16 : 392,641.92 = 64,772.16 : x
  2. Step 2: Convert to fraction form
    261,764.16/392,641.92 = 64,772.16/x
  3. Step 3: Cross multiply
    261,764.16x = 392,641.92 × 64,772.16
  4. Step 4: Simplify right side
    261,764.16x = 25,432,265,264.95
  5. Step 5: Solve for x
    x = 25,432,265,264.95/261,764.16
  6. Step 6: Final answer
    x = 97,157.17

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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.