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Finding the Fourth Proportional to 141,885.88, 195,803.84 and 78,225.95

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Solution

The fourth proportional to 141,885.88, 195,803.84 and 78,225.95 is: 107,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885.88 : 195,803.84 = 78,225.95 : x
  2. Step 2: Convert to fraction form
    141,885.88/195,803.84 = 78,225.95/x
  3. Step 3: Cross multiply
    141,885.88x = 195,803.84 × 78,225.95
  4. Step 4: Simplify right side
    141,885.88x = 15,316,941,397.65
  5. Step 5: Solve for x
    x = 15,316,941,397.65/141,885.88
  6. Step 6: Final answer
    x = 107,952.54

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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.