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Finding the Fourth Proportional to 97,691.94, 134,750.76 and 77,516.82

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Solution

The fourth proportional to 97,691.94, 134,750.76 and 77,516.82 is: 106,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,691.94 : 134,750.76 = 77,516.82 : x
  2. Step 2: Convert to fraction form
    97,691.94/134,750.76 = 77,516.82/x
  3. Step 3: Cross multiply
    97,691.94x = 134,750.76 × 77,516.82
  4. Step 4: Simplify right side
    97,691.94x = 10,445,450,407.78
  5. Step 5: Solve for x
    x = 10,445,450,407.78/97,691.94
  6. Step 6: Final answer
    x = 106,922.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.