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Finding the Fourth Proportional to 102,458.96, 153,711.12 and 40,130

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Solution

The fourth proportional to 102,458.96, 153,711.12 and 40,130 is: 60,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458.96 : 153,711.12 = 40,130 : x
  2. Step 2: Convert to fraction form
    102,458.96/153,711.12 = 40,130/x
  3. Step 3: Cross multiply
    102,458.96x = 153,711.12 × 40,130
  4. Step 4: Simplify right side
    102,458.96x = 6,168,427,245.60
  5. Step 5: Solve for x
    x = 6,168,427,245.60/102,458.96
  6. Step 6: Final answer
    x = 60,203.88

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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.