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Finding the Fourth Proportional to 141,421.95, 195,162.25 and 77,763.87

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Solution

The fourth proportional to 141,421.95, 195,162.25 and 77,763.87 is: 107,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,421.95 : 195,162.25 = 77,763.87 : x
  2. Step 2: Convert to fraction form
    141,421.95/195,162.25 = 77,763.87/x
  3. Step 3: Cross multiply
    141,421.95x = 195,162.25 × 77,763.87
  4. Step 4: Simplify right side
    141,421.95x = 15,176,571,837.91
  5. Step 5: Solve for x
    x = 15,176,571,837.91/141,421.95
  6. Step 6: Final answer
    x = 107,314.12

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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.