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Finding the Fourth Proportional to 65,377.76, 97,980.56 and 25,913.36

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Solution

The fourth proportional to 65,377.76, 97,980.56 and 25,913.36 is: 38,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,377.76 : 97,980.56 = 25,913.36 : x
  2. Step 2: Convert to fraction form
    65,377.76/97,980.56 = 25,913.36/x
  3. Step 3: Cross multiply
    65,377.76x = 97,980.56 × 25,913.36
  4. Step 4: Simplify right side
    65,377.76x = 2,539,005,524.28
  5. Step 5: Solve for x
    x = 2,539,005,524.28/65,377.76
  6. Step 6: Final answer
    x = 38,835.92

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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.