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Finding the Fourth Proportional to 102,142.80, 153,329.40 and 78,872.40

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Solution

The fourth proportional to 102,142.80, 153,329.40 and 78,872.40 is: 118,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.80 : 153,329.40 = 78,872.40 : x
  2. Step 2: Convert to fraction form
    102,142.80/153,329.40 = 78,872.40/x
  3. Step 3: Cross multiply
    102,142.80x = 153,329.40 × 78,872.40
  4. Step 4: Simplify right side
    102,142.80x = 12,093,457,768.56
  5. Step 5: Solve for x
    x = 12,093,457,768.56/102,142.80
  6. Step 6: Final answer
    x = 118,397.55

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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.