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Finding the Fourth Proportional to 91,407.66, 137,114.52 and 31,435.54

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Solution

The fourth proportional to 91,407.66, 137,114.52 and 31,435.54 is: 47,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,407.66 : 137,114.52 = 31,435.54 : x
  2. Step 2: Convert to fraction form
    91,407.66/137,114.52 = 31,435.54/x
  3. Step 3: Cross multiply
    91,407.66x = 137,114.52 × 31,435.54
  4. Step 4: Simplify right side
    91,407.66x = 4,310,268,978.04
  5. Step 5: Solve for x
    x = 4,310,268,978.04/91,407.66
  6. Step 6: Final answer
    x = 47,154.35

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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.