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Finding the Fourth Proportional to 100,604, 138,833.52 and 55,892

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Solution

The fourth proportional to 100,604, 138,833.52 and 55,892 is: 77,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,604 : 138,833.52 = 55,892 : x
  2. Step 2: Convert to fraction form
    100,604/138,833.52 = 55,892/x
  3. Step 3: Cross multiply
    100,604x = 138,833.52 × 55,892
  4. Step 4: Simplify right side
    100,604x = 7,759,683,099.84
  5. Step 5: Solve for x
    x = 7,759,683,099.84/100,604
  6. Step 6: Final answer
    x = 77,130.96

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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.