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Finding the Fourth Proportional to 91,876.68, 137,931.66 and 78,113.16

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Solution

The fourth proportional to 91,876.68, 137,931.66 and 78,113.16 is: 117,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,876.68 : 137,931.66 = 78,113.16 : x
  2. Step 2: Convert to fraction form
    91,876.68/137,931.66 = 78,113.16/x
  3. Step 3: Cross multiply
    91,876.68x = 137,931.66 × 78,113.16
  4. Step 4: Simplify right side
    91,876.68x = 10,774,277,826.65
  5. Step 5: Solve for x
    x = 10,774,277,826.65/91,876.68
  6. Step 6: Final answer
    x = 117,268.91

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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.