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Finding the Fourth Proportional to 100,862.94, 151,387.90 and 50,977.81

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Solution

The fourth proportional to 100,862.94, 151,387.90 and 50,977.81 is: 76,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,862.94 : 151,387.90 = 50,977.81 : x
  2. Step 2: Convert to fraction form
    100,862.94/151,387.90 = 50,977.81/x
  3. Step 3: Cross multiply
    100,862.94x = 151,387.90 × 50,977.81
  4. Step 4: Simplify right side
    100,862.94x = 7,717,423,096.58
  5. Step 5: Solve for x
    x = 7,717,423,096.58/100,862.94
  6. Step 6: Final answer
    x = 76,513.96

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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.