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Finding the Fourth Proportional to 141,888.84, 195,807.96 and 78,228.96

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Solution

The fourth proportional to 141,888.84, 195,807.96 and 78,228.96 is: 107,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,888.84 : 195,807.96 = 78,228.96 : x
  2. Step 2: Convert to fraction form
    141,888.84/195,807.96 = 78,228.96/x
  3. Step 3: Cross multiply
    141,888.84x = 195,807.96 × 78,228.96
  4. Step 4: Simplify right side
    141,888.84x = 15,317,853,070.52
  5. Step 5: Solve for x
    x = 15,317,853,070.52/141,888.84
  6. Step 6: Final answer
    x = 107,956.72

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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.