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Finding the Fourth Proportional to 97,671.38, 134,770.53 and 64,178.90

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Solution

The fourth proportional to 97,671.38, 134,770.53 and 64,178.90 is: 88,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671.38 : 134,770.53 = 64,178.90 : x
  2. Step 2: Convert to fraction form
    97,671.38/134,770.53 = 64,178.90/x
  3. Step 3: Cross multiply
    97,671.38x = 134,770.53 × 64,178.90
  4. Step 4: Simplify right side
    97,671.38x = 8,649,424,367.82
  5. Step 5: Solve for x
    x = 8,649,424,367.82/97,671.38
  6. Step 6: Final answer
    x = 88,556.39

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1.5x scale

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.