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Finding the Fourth Proportional to 387,599.76, 581,432.85 and 107,117.01

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Solution

The fourth proportional to 387,599.76, 581,432.85 and 107,117.01 is: 160,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,599.76 : 581,432.85 = 107,117.01 : x
  2. Step 2: Convert to fraction form
    387,599.76/581,432.85 = 107,117.01/x
  3. Step 3: Cross multiply
    387,599.76x = 581,432.85 × 107,117.01
  4. Step 4: Simplify right side
    387,599.76x = 62,281,348,407.78
  5. Step 5: Solve for x
    x = 62,281,348,407.78/387,599.76
  6. Step 6: Final answer
    x = 160,684.69

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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.