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Finding the Fourth Proportional to 91,458.40, 137,184.31 and 23,989.90

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Solution

The fourth proportional to 91,458.40, 137,184.31 and 23,989.90 is: 35,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,458.40 : 137,184.31 = 23,989.90 : x
  2. Step 2: Convert to fraction form
    91,458.40/137,184.31 = 23,989.90/x
  3. Step 3: Cross multiply
    91,458.40x = 137,184.31 × 23,989.90
  4. Step 4: Simplify right side
    91,458.40x = 3,291,037,878.47
  5. Step 5: Solve for x
    x = 3,291,037,878.47/91,458.40
  6. Step 6: Final answer
    x = 35,983.99

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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.