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Finding the Fourth Proportional to 91,829.25, 137,737.40 and 45,065.25

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Solution

The fourth proportional to 91,829.25, 137,737.40 and 45,065.25 is: 67,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829.25 : 137,737.40 = 45,065.25 : x
  2. Step 2: Convert to fraction form
    91,829.25/137,737.40 = 45,065.25/x
  3. Step 3: Cross multiply
    91,829.25x = 137,737.40 × 45,065.25
  4. Step 4: Simplify right side
    91,829.25x = 6,207,170,140.02
  5. Step 5: Solve for x
    x = 6,207,170,140.02/91,829.25
  6. Step 6: Final answer
    x = 67,594.69

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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.