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Finding the Fourth Proportional to 142,187.65, 213,117.42 and 53,384.52

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Solution

The fourth proportional to 142,187.65, 213,117.42 and 53,384.52 is: 80,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,187.65 : 213,117.42 = 53,384.52 : x
  2. Step 2: Convert to fraction form
    142,187.65/213,117.42 = 53,384.52/x
  3. Step 3: Cross multiply
    142,187.65x = 213,117.42 × 53,384.52
  4. Step 4: Simplify right side
    142,187.65x = 11,377,171,170.34
  5. Step 5: Solve for x
    x = 11,377,171,170.34/142,187.65
  6. Step 6: Final answer
    x = 80,015.19

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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.