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Finding the Fourth Proportional to 261,416.52, 392,124.72 and 74,428

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Solution

The fourth proportional to 261,416.52, 392,124.72 and 74,428 is: 111,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,416.52 : 392,124.72 = 74,428 : x
  2. Step 2: Convert to fraction form
    261,416.52/392,124.72 = 74,428/x
  3. Step 3: Cross multiply
    261,416.52x = 392,124.72 × 74,428
  4. Step 4: Simplify right side
    261,416.52x = 29,185,058,660.16
  5. Step 5: Solve for x
    x = 29,185,058,660.16/261,416.52
  6. Step 6: Final answer
    x = 111,641.98

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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.