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Finding the Fourth Proportional to 137,582.80, 189,874.08 and 76,349.08

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Solution

The fourth proportional to 137,582.80, 189,874.08 and 76,349.08 is: 105,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,582.80 : 189,874.08 = 76,349.08 : x
  2. Step 2: Convert to fraction form
    137,582.80/189,874.08 = 76,349.08/x
  3. Step 3: Cross multiply
    137,582.80x = 189,874.08 × 76,349.08
  4. Step 4: Simplify right side
    137,582.80x = 14,496,711,323.85
  5. Step 5: Solve for x
    x = 14,496,711,323.85/137,582.80
  6. Step 6: Final answer
    x = 105,367.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.