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Finding the Fourth Proportional to 205,261.60, 307,921.20 and 65,005.60

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Solution

The fourth proportional to 205,261.60, 307,921.20 and 65,005.60 is: 97,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,261.60 : 307,921.20 = 65,005.60 : x
  2. Step 2: Convert to fraction form
    205,261.60/307,921.20 = 65,005.60/x
  3. Step 3: Cross multiply
    205,261.60x = 307,921.20 × 65,005.60
  4. Step 4: Simplify right side
    205,261.60x = 20,016,602,358.72
  5. Step 5: Solve for x
    x = 20,016,602,358.72/205,261.60
  6. Step 6: Final answer
    x = 97,517.52

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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.