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Finding the Fourth Proportional to 145,854.62, 218,781.94 and 47,358.62

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Solution

The fourth proportional to 145,854.62, 218,781.94 and 47,358.62 is: 71,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854.62 : 218,781.94 = 47,358.62 : x
  2. Step 2: Convert to fraction form
    145,854.62/218,781.94 = 47,358.62/x
  3. Step 3: Cross multiply
    145,854.62x = 218,781.94 × 47,358.62
  4. Step 4: Simplify right side
    145,854.62x = 10,361,210,759.32
  5. Step 5: Solve for x
    x = 10,361,210,759.32/145,854.62
  6. Step 6: Final answer
    x = 71,037.93

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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.