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Finding the Fourth Proportional to 102,693.20, 153,821.10 and 83,010.20

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Solution

The fourth proportional to 102,693.20, 153,821.10 and 83,010.20 is: 124,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693.20 : 153,821.10 = 83,010.20 : x
  2. Step 2: Convert to fraction form
    102,693.20/153,821.10 = 83,010.20/x
  3. Step 3: Cross multiply
    102,693.20x = 153,821.10 × 83,010.20
  4. Step 4: Simplify right side
    102,693.20x = 12,768,720,275.22
  5. Step 5: Solve for x
    x = 12,768,720,275.22/102,693.20
  6. Step 6: Final answer
    x = 124,338.52

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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.