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Finding the Fourth Proportional to 91,471.62, 137,173.32 and 31,483.32

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Solution

The fourth proportional to 91,471.62, 137,173.32 and 31,483.32 is: 47,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,471.62 : 137,173.32 = 31,483.32 : x
  2. Step 2: Convert to fraction form
    91,471.62/137,173.32 = 31,483.32/x
  3. Step 3: Cross multiply
    91,471.62x = 137,173.32 × 31,483.32
  4. Step 4: Simplify right side
    91,471.62x = 4,318,671,529.02
  5. Step 5: Solve for x
    x = 4,318,671,529.02/91,471.62
  6. Step 6: Final answer
    x = 47,213.24

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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.