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Finding the Fourth Proportional to 138,298.60, 206,987.10 and 121,709.80

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Solution

The fourth proportional to 138,298.60, 206,987.10 and 121,709.80 is: 182,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,298.60 : 206,987.10 = 121,709.80 : x
  2. Step 2: Convert to fraction form
    138,298.60/206,987.10 = 121,709.80/x
  3. Step 3: Cross multiply
    138,298.60x = 206,987.10 × 121,709.80
  4. Step 4: Simplify right side
    138,298.60x = 25,192,358,543.58
  5. Step 5: Solve for x
    x = 25,192,358,543.58/138,298.60
  6. Step 6: Final answer
    x = 182,159.17

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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.