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Finding the Fourth Proportional to 258,643.93, 387,966.06 and 71,655.43

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Solution

The fourth proportional to 258,643.93, 387,966.06 and 71,655.43 is: 107,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,643.93 : 387,966.06 = 71,655.43 : x
  2. Step 2: Convert to fraction form
    258,643.93/387,966.06 = 71,655.43/x
  3. Step 3: Cross multiply
    258,643.93x = 387,966.06 × 71,655.43
  4. Step 4: Simplify right side
    258,643.93x = 27,799,874,854.71
  5. Step 5: Solve for x
    x = 27,799,874,854.71/258,643.93
  6. Step 6: Final answer
    x = 107,483.19

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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.