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Finding the Fourth Proportional to 78,535.73, 117,803.03 and 31,787.93

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Solution

The fourth proportional to 78,535.73, 117,803.03 and 31,787.93 is: 47,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,535.73 : 117,803.03 = 31,787.93 : x
  2. Step 2: Convert to fraction form
    78,535.73/117,803.03 = 31,787.93/x
  3. Step 3: Cross multiply
    78,535.73x = 117,803.03 × 31,787.93
  4. Step 4: Simplify right side
    78,535.73x = 3,744,713,723.47
  5. Step 5: Solve for x
    x = 3,744,713,723.47/78,535.73
  6. Step 6: Final answer
    x = 47,681.66

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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.