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Finding the Fourth Proportional to 121,691.60, 182,564.60 and 42,808.40

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Solution

The fourth proportional to 121,691.60, 182,564.60 and 42,808.40 is: 64,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,691.60 : 182,564.60 = 42,808.40 : x
  2. Step 2: Convert to fraction form
    121,691.60/182,564.60 = 42,808.40/x
  3. Step 3: Cross multiply
    121,691.60x = 182,564.60 × 42,808.40
  4. Step 4: Simplify right side
    121,691.60x = 7,815,298,422.64
  5. Step 5: Solve for x
    x = 7,815,298,422.64/121,691.60
  6. Step 6: Final answer
    x = 64,222.17

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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.