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Finding the Fourth Proportional to 102,240.88, 141,080.16 and 56,908

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Solution

The fourth proportional to 102,240.88, 141,080.16 and 56,908 is: 78,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,240.88 : 141,080.16 = 56,908 : x
  2. Step 2: Convert to fraction form
    102,240.88/141,080.16 = 56,908/x
  3. Step 3: Cross multiply
    102,240.88x = 141,080.16 × 56,908
  4. Step 4: Simplify right side
    102,240.88x = 8,028,589,745.28
  5. Step 5: Solve for x
    x = 8,028,589,745.28/102,240.88
  6. Step 6: Final answer
    x = 78,526.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.