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Finding the Fourth Proportional to 70,776.96, 97,671.53 and 40,155.86

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Solution

The fourth proportional to 70,776.96, 97,671.53 and 40,155.86 is: 55,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.96 : 97,671.53 = 40,155.86 : x
  2. Step 2: Convert to fraction form
    70,776.96/97,671.53 = 40,155.86/x
  3. Step 3: Cross multiply
    70,776.96x = 97,671.53 × 40,155.86
  4. Step 4: Simplify right side
    70,776.96x = 3,922,083,595.53
  5. Step 5: Solve for x
    x = 3,922,083,595.53/70,776.96
  6. Step 6: Final answer
    x = 55,414.69

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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.