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Finding the Fourth Proportional to 70,909.80, 106,364.70 and 57,787.80

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Solution

The fourth proportional to 70,909.80, 106,364.70 and 57,787.80 is: 86,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.80 : 106,364.70 = 57,787.80 : x
  2. Step 2: Convert to fraction form
    70,909.80/106,364.70 = 57,787.80/x
  3. Step 3: Cross multiply
    70,909.80x = 106,364.70 × 57,787.80
  4. Step 4: Simplify right side
    70,909.80x = 6,146,582,010.66
  5. Step 5: Solve for x
    x = 6,146,582,010.66/70,909.80
  6. Step 6: Final answer
    x = 86,681.70

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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.