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Finding the Fourth Proportional to 91,113.63, 136,671.65 and 31,951.02

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Solution

The fourth proportional to 91,113.63, 136,671.65 and 31,951.02 is: 47,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,113.63 : 136,671.65 = 31,951.02 : x
  2. Step 2: Convert to fraction form
    91,113.63/136,671.65 = 31,951.02/x
  3. Step 3: Cross multiply
    91,113.63x = 136,671.65 × 31,951.02
  4. Step 4: Simplify right side
    91,113.63x = 4,366,798,462.83
  5. Step 5: Solve for x
    x = 4,366,798,462.83/91,113.63
  6. Step 6: Final answer
    x = 47,926.95

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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.