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Finding the Fourth Proportional to 52,001.60, 78,016.80 and 34,505.60

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Solution

The fourth proportional to 52,001.60, 78,016.80 and 34,505.60 is: 51,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.60 : 78,016.80 = 34,505.60 : x
  2. Step 2: Convert to fraction form
    52,001.60/78,016.80 = 34,505.60/x
  3. Step 3: Cross multiply
    52,001.60x = 78,016.80 × 34,505.60
  4. Step 4: Simplify right side
    52,001.60x = 2,692,016,494.08
  5. Step 5: Solve for x
    x = 2,692,016,494.08/52,001.60
  6. Step 6: Final answer
    x = 51,767.96

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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.