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Finding the Fourth Proportional to 258,731.52, 387,666.64 and 90,158.91

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Solution

The fourth proportional to 258,731.52, 387,666.64 and 90,158.91 is: 135,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,731.52 : 387,666.64 = 90,158.91 : x
  2. Step 2: Convert to fraction form
    258,731.52/387,666.64 = 90,158.91/x
  3. Step 3: Cross multiply
    258,731.52x = 387,666.64 × 90,158.91
  4. Step 4: Simplify right side
    258,731.52x = 34,951,600,364.71
  5. Step 5: Solve for x
    x = 34,951,600,364.71/258,731.52
  6. Step 6: Final answer
    x = 135,088.30

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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.