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Finding the Fourth Proportional to 91,762.40, 137,643.60 and 29,439.20

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Solution

The fourth proportional to 91,762.40, 137,643.60 and 29,439.20 is: 44,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762.40 : 137,643.60 = 29,439.20 : x
  2. Step 2: Convert to fraction form
    91,762.40/137,643.60 = 29,439.20/x
  3. Step 3: Cross multiply
    91,762.40x = 137,643.60 × 29,439.20
  4. Step 4: Simplify right side
    91,762.40x = 4,052,117,469.12
  5. Step 5: Solve for x
    x = 4,052,117,469.12/91,762.40
  6. Step 6: Final answer
    x = 44,158.80

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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.