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Finding the Fourth Proportional to 65,137.61, 97,535.10 and 52,419.74

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Solution

The fourth proportional to 65,137.61, 97,535.10 and 52,419.74 is: 78,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.61 : 97,535.10 = 52,419.74 : x
  2. Step 2: Convert to fraction form
    65,137.61/97,535.10 = 52,419.74/x
  3. Step 3: Cross multiply
    65,137.61x = 97,535.10 × 52,419.74
  4. Step 4: Simplify right side
    65,137.61x = 5,112,764,095.20
  5. Step 5: Solve for x
    x = 5,112,764,095.20/65,137.61
  6. Step 6: Final answer
    x = 78,491.74

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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.