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Finding the Fourth Proportional to 65,385.60, 97,947.12 and 55,347.36

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Solution

The fourth proportional to 65,385.60, 97,947.12 and 55,347.36 is: 82,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,385.60 : 97,947.12 = 55,347.36 : x
  2. Step 2: Convert to fraction form
    65,385.60/97,947.12 = 55,347.36/x
  3. Step 3: Cross multiply
    65,385.60x = 97,947.12 × 55,347.36
  4. Step 4: Simplify right side
    65,385.60x = 5,421,114,511.60
  5. Step 5: Solve for x
    x = 5,421,114,511.60/65,385.60
  6. Step 6: Final answer
    x = 82,909.91

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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.