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Finding the Fourth Proportional to 98,644, 136,129.20 and 53,932

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Solution

The fourth proportional to 98,644, 136,129.20 and 53,932 is: 74,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,644 : 136,129.20 = 53,932 : x
  2. Step 2: Convert to fraction form
    98,644/136,129.20 = 53,932/x
  3. Step 3: Cross multiply
    98,644x = 136,129.20 × 53,932
  4. Step 4: Simplify right side
    98,644x = 7,341,720,014.40
  5. Step 5: Solve for x
    x = 7,341,720,014.40/98,644
  6. Step 6: Final answer
    x = 74,426.42

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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.