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Finding the Fourth Proportional to 143,287.60, 214,931.40 and 38,117.20

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Solution

The fourth proportional to 143,287.60, 214,931.40 and 38,117.20 is: 57,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,287.60 : 214,931.40 = 38,117.20 : x
  2. Step 2: Convert to fraction form
    143,287.60/214,931.40 = 38,117.20/x
  3. Step 3: Cross multiply
    143,287.60x = 214,931.40 × 38,117.20
  4. Step 4: Simplify right side
    143,287.60x = 8,192,583,160.08
  5. Step 5: Solve for x
    x = 8,192,583,160.08/143,287.60
  6. Step 6: Final answer
    x = 57,175.80

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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.