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Finding the Fourth Proportional to 91,718.49, 137,597.58 and 31,746.90

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Solution

The fourth proportional to 91,718.49, 137,597.58 and 31,746.90 is: 47,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,718.49 : 137,597.58 = 31,746.90 : x
  2. Step 2: Convert to fraction form
    91,718.49/137,597.58 = 31,746.90/x
  3. Step 3: Cross multiply
    91,718.49x = 137,597.58 × 31,746.90
  4. Step 4: Simplify right side
    91,718.49x = 4,368,296,612.50
  5. Step 5: Solve for x
    x = 4,368,296,612.50/91,718.49
  6. Step 6: Final answer
    x = 47,627.22

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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.