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Finding the Fourth Proportional to 91,406.60, 137,054.51 and 59,778.46

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Solution

The fourth proportional to 91,406.60, 137,054.51 and 59,778.46 is: 89,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,406.60 : 137,054.51 = 59,778.46 : x
  2. Step 2: Convert to fraction form
    91,406.60/137,054.51 = 59,778.46/x
  3. Step 3: Cross multiply
    91,406.60x = 137,054.51 × 59,778.46
  4. Step 4: Simplify right side
    91,406.60x = 8,192,907,543.85
  5. Step 5: Solve for x
    x = 8,192,907,543.85/91,406.60
  6. Step 6: Final answer
    x = 89,631.47

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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.