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Finding the Fourth Proportional to 121,462.76, 167,545.12 and 78,374.81

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Solution

The fourth proportional to 121,462.76, 167,545.12 and 78,374.81 is: 108,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,462.76 : 167,545.12 = 78,374.81 : x
  2. Step 2: Convert to fraction form
    121,462.76/167,545.12 = 78,374.81/x
  3. Step 3: Cross multiply
    121,462.76x = 167,545.12 × 78,374.81
  4. Step 4: Simplify right side
    121,462.76x = 13,131,316,946.43
  5. Step 5: Solve for x
    x = 13,131,316,946.43/121,462.76
  6. Step 6: Final answer
    x = 108,109.82

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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.