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Finding the Fourth Proportional to 261,399.51, 392,164.88 and 128,342.43

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Solution

The fourth proportional to 261,399.51, 392,164.88 and 128,342.43 is: 192,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,399.51 : 392,164.88 = 128,342.43 : x
  2. Step 2: Convert to fraction form
    261,399.51/392,164.88 = 128,342.43/x
  3. Step 3: Cross multiply
    261,399.51x = 392,164.88 × 128,342.43
  4. Step 4: Simplify right side
    261,399.51x = 50,331,393,018.15
  5. Step 5: Solve for x
    x = 50,331,393,018.15/261,399.51
  6. Step 6: Final answer
    x = 192,545.86

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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.