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Finding the Fourth Proportional to 137,160.89, 205,554.53 and 77,217.95

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Solution

The fourth proportional to 137,160.89, 205,554.53 and 77,217.95 is: 115,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,160.89 : 205,554.53 = 77,217.95 : x
  2. Step 2: Convert to fraction form
    137,160.89/205,554.53 = 77,217.95/x
  3. Step 3: Cross multiply
    137,160.89x = 205,554.53 × 77,217.95
  4. Step 4: Simplify right side
    137,160.89x = 15,872,499,547.61
  5. Step 5: Solve for x
    x = 15,872,499,547.61/137,160.89
  6. Step 6: Final answer
    x = 115,721.76

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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.