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Finding the Fourth Proportional to 102,179.70, 153,113.40 and 42,982.92

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Solution

The fourth proportional to 102,179.70, 153,113.40 and 42,982.92 is: 64,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,179.70 : 153,113.40 = 42,982.92 : x
  2. Step 2: Convert to fraction form
    102,179.70/153,113.40 = 42,982.92/x
  3. Step 3: Cross multiply
    102,179.70x = 153,113.40 × 42,982.92
  4. Step 4: Simplify right side
    102,179.70x = 6,581,261,023.13
  5. Step 5: Solve for x
    x = 6,581,261,023.13/102,179.70
  6. Step 6: Final answer
    x = 64,408.69

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1.5x scale

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.