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Finding the Fourth Proportional to 102,030.80, 153,046.20 and 49,542.80

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Solution

The fourth proportional to 102,030.80, 153,046.20 and 49,542.80 is: 74,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.80 : 153,046.20 = 49,542.80 : x
  2. Step 2: Convert to fraction form
    102,030.80/153,046.20 = 49,542.80/x
  3. Step 3: Cross multiply
    102,030.80x = 153,046.20 × 49,542.80
  4. Step 4: Simplify right side
    102,030.80x = 7,582,337,277.36
  5. Step 5: Solve for x
    x = 7,582,337,277.36/102,030.80
  6. Step 6: Final answer
    x = 74,314.20

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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.