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Finding the Fourth Proportional to 142,693.80, 214,069.92 and 63,816

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Solution

The fourth proportional to 142,693.80, 214,069.92 and 63,816 is: 95,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,693.80 : 214,069.92 = 63,816 : x
  2. Step 2: Convert to fraction form
    142,693.80/214,069.92 = 63,816/x
  3. Step 3: Cross multiply
    142,693.80x = 214,069.92 × 63,816
  4. Step 4: Simplify right side
    142,693.80x = 13,661,086,014.72
  5. Step 5: Solve for x
    x = 13,661,086,014.72/142,693.80
  6. Step 6: Final answer
    x = 95,737.07

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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.