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Finding the Fourth Proportional to 101,877.10, 140,584.43 and 56,551.82

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Solution

The fourth proportional to 101,877.10, 140,584.43 and 56,551.82 is: 78,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,877.10 : 140,584.43 = 56,551.82 : x
  2. Step 2: Convert to fraction form
    101,877.10/140,584.43 = 56,551.82/x
  3. Step 3: Cross multiply
    101,877.10x = 140,584.43 × 56,551.82
  4. Step 4: Simplify right side
    101,877.10x = 7,950,304,818.62
  5. Step 5: Solve for x
    x = 7,950,304,818.62/101,877.10
  6. Step 6: Final answer
    x = 78,038.20

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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.