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Finding the Fourth Proportional to 102,062.20, 153,020.40 and 45,856.30

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Solution

The fourth proportional to 102,062.20, 153,020.40 and 45,856.30 is: 68,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062.20 : 153,020.40 = 45,856.30 : x
  2. Step 2: Convert to fraction form
    102,062.20/153,020.40 = 45,856.30/x
  3. Step 3: Cross multiply
    102,062.20x = 153,020.40 × 45,856.30
  4. Step 4: Simplify right side
    102,062.20x = 7,016,949,368.52
  5. Step 5: Solve for x
    x = 7,016,949,368.52/102,062.20
  6. Step 6: Final answer
    x = 68,751.70

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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.