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Finding the Fourth Proportional to 137,569.65, 189,855.89 and 76,335.90

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Solution

The fourth proportional to 137,569.65, 189,855.89 and 76,335.90 is: 105,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.65 : 189,855.89 = 76,335.90 : x
  2. Step 2: Convert to fraction form
    137,569.65/189,855.89 = 76,335.90/x
  3. Step 3: Cross multiply
    137,569.65x = 189,855.89 × 76,335.90
  4. Step 4: Simplify right side
    137,569.65x = 14,492,820,233.45
  5. Step 5: Solve for x
    x = 14,492,820,233.45/137,569.65
  6. Step 6: Final answer
    x = 105,348.96

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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.