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Finding the Fourth Proportional to 85,952.64, 129,126.60 and 61,053.24

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Solution

The fourth proportional to 85,952.64, 129,126.60 and 61,053.24 is: 91,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,952.64 : 129,126.60 = 61,053.24 : x
  2. Step 2: Convert to fraction form
    85,952.64/129,126.60 = 61,053.24/x
  3. Step 3: Cross multiply
    85,952.64x = 129,126.60 × 61,053.24
  4. Step 4: Simplify right side
    85,952.64x = 7,883,597,300.18
  5. Step 5: Solve for x
    x = 7,883,597,300.18/85,952.64
  6. Step 6: Final answer
    x = 91,720.25

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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.