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Finding the Fourth Proportional to 100,815.30, 151,117.56 and 37,607.94

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Solution

The fourth proportional to 100,815.30, 151,117.56 and 37,607.94 is: 56,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,815.30 : 151,117.56 = 37,607.94 : x
  2. Step 2: Convert to fraction form
    100,815.30/151,117.56 = 37,607.94/x
  3. Step 3: Cross multiply
    100,815.30x = 151,117.56 × 37,607.94
  4. Step 4: Simplify right side
    100,815.30x = 5,683,220,129.43
  5. Step 5: Solve for x
    x = 5,683,220,129.43/100,815.30
  6. Step 6: Final answer
    x = 56,372.60

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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.