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Finding the Fourth Proportional to 258,640.08, 387,960.12 and 71,646.72

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Solution

The fourth proportional to 258,640.08, 387,960.12 and 71,646.72 is: 107,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,640.08 : 387,960.12 = 71,646.72 : x
  2. Step 2: Convert to fraction form
    258,640.08/387,960.12 = 71,646.72/x
  3. Step 3: Cross multiply
    258,640.08x = 387,960.12 × 71,646.72
  4. Step 4: Simplify right side
    258,640.08x = 27,796,070,088.81
  5. Step 5: Solve for x
    x = 27,796,070,088.81/258,640.08
  6. Step 6: Final answer
    x = 107,470.08

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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.