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Finding the Fourth Proportional to 141,642.42, 195,459.12 and 77,967.78

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Solution

The fourth proportional to 141,642.42, 195,459.12 and 77,967.78 is: 107,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642.42 : 195,459.12 = 77,967.78 : x
  2. Step 2: Convert to fraction form
    141,642.42/195,459.12 = 77,967.78/x
  3. Step 3: Cross multiply
    141,642.42x = 195,459.12 × 77,967.78
  4. Step 4: Simplify right side
    141,642.42x = 15,239,513,667.15
  5. Step 5: Solve for x
    x = 15,239,513,667.15/141,642.42
  6. Step 6: Final answer
    x = 107,591.45

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1.5x scale

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.