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Finding the Fourth Proportional to 149,013.48, 205,723.62 and 98,780.52

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Solution

The fourth proportional to 149,013.48, 205,723.62 and 98,780.52 is: 136,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,013.48 : 205,723.62 = 98,780.52 : x
  2. Step 2: Convert to fraction form
    149,013.48/205,723.62 = 98,780.52/x
  3. Step 3: Cross multiply
    149,013.48x = 205,723.62 × 98,780.52
  4. Step 4: Simplify right side
    149,013.48x = 20,321,486,159.88
  5. Step 5: Solve for x
    x = 20,321,486,159.88/149,013.48
  6. Step 6: Final answer
    x = 136,373.48

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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.