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Finding the Fourth Proportional to 91,865, 137,816.98 and 29,540.36

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Solution

The fourth proportional to 91,865, 137,816.98 and 29,540.36 is: 44,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,865 : 137,816.98 = 29,540.36 : x
  2. Step 2: Convert to fraction form
    91,865/137,816.98 = 29,540.36/x
  3. Step 3: Cross multiply
    91,865x = 137,816.98 × 29,540.36
  4. Step 4: Simplify right side
    91,865x = 4,071,163,203.31
  5. Step 5: Solve for x
    x = 4,071,163,203.31/91,865
  6. Step 6: Final answer
    x = 44,316.80

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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.