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Finding the Fourth Proportional to 134,957.75, 202,559.47 and 71,830.87

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Solution

The fourth proportional to 134,957.75, 202,559.47 and 71,830.87 is: 107,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957.75 : 202,559.47 = 71,830.87 : x
  2. Step 2: Convert to fraction form
    134,957.75/202,559.47 = 71,830.87/x
  3. Step 3: Cross multiply
    134,957.75x = 202,559.47 × 71,830.87
  4. Step 4: Simplify right side
    134,957.75x = 14,550,022,270.86
  5. Step 5: Solve for x
    x = 14,550,022,270.86/134,957.75
  6. Step 6: Final answer
    x = 107,811.69

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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.