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Finding the Fourth Proportional to 315,129.83, 472,591.87 and 101,847.62

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Solution

The fourth proportional to 315,129.83, 472,591.87 and 101,847.62 is: 152,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,129.83 : 472,591.87 = 101,847.62 : x
  2. Step 2: Convert to fraction form
    315,129.83/472,591.87 = 101,847.62/x
  3. Step 3: Cross multiply
    315,129.83x = 472,591.87 × 101,847.62
  4. Step 4: Simplify right side
    315,129.83x = 48,132,358,117.71
  5. Step 5: Solve for x
    x = 48,132,358,117.71/315,129.83
  6. Step 6: Final answer
    x = 152,738.19

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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.