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Finding the Fourth Proportional to 85,701.68, 128,503.31 and 45,671.38

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Solution

The fourth proportional to 85,701.68, 128,503.31 and 45,671.38 is: 68,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,701.68 : 128,503.31 = 45,671.38 : x
  2. Step 2: Convert to fraction form
    85,701.68/128,503.31 = 45,671.38/x
  3. Step 3: Cross multiply
    85,701.68x = 128,503.31 × 45,671.38
  4. Step 4: Simplify right side
    85,701.68x = 5,868,922,952.65
  5. Step 5: Solve for x
    x = 5,868,922,952.65/85,701.68
  6. Step 6: Final answer
    x = 68,480.84

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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.