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Finding the Fourth Proportional to 100,042.60, 138,070.70 and 57,609.40

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Solution

The fourth proportional to 100,042.60, 138,070.70 and 57,609.40 is: 79,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.60 : 138,070.70 = 57,609.40 : x
  2. Step 2: Convert to fraction form
    100,042.60/138,070.70 = 57,609.40/x
  3. Step 3: Cross multiply
    100,042.60x = 138,070.70 × 57,609.40
  4. Step 4: Simplify right side
    100,042.60x = 7,954,170,184.58
  5. Step 5: Solve for x
    x = 7,954,170,184.58/100,042.60
  6. Step 6: Final answer
    x = 79,507.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.