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Finding the Fourth Proportional to 162,146.68, 243,054.78 and 91,877.56

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Solution

The fourth proportional to 162,146.68, 243,054.78 and 91,877.56 is: 137,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,146.68 : 243,054.78 = 91,877.56 : x
  2. Step 2: Convert to fraction form
    162,146.68/243,054.78 = 91,877.56/x
  3. Step 3: Cross multiply
    162,146.68x = 243,054.78 × 91,877.56
  4. Step 4: Simplify right side
    162,146.68x = 22,331,280,132.74
  5. Step 5: Solve for x
    x = 22,331,280,132.74/162,146.68
  6. Step 6: Final answer
    x = 137,722.71

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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.