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Finding the Fourth Proportional to 387,892.26, 581,878.89 and 107,409.51

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Solution

The fourth proportional to 387,892.26, 581,878.89 and 107,409.51 is: 161,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,892.26 : 581,878.89 = 107,409.51 : x
  2. Step 2: Convert to fraction form
    387,892.26/581,878.89 = 107,409.51/x
  3. Step 3: Cross multiply
    387,892.26x = 581,878.89 × 107,409.51
  4. Step 4: Simplify right side
    387,892.26x = 62,499,326,454.24
  5. Step 5: Solve for x
    x = 62,499,326,454.24/387,892.26
  6. Step 6: Final answer
    x = 161,125.48

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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.