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Finding the Fourth Proportional to 78,033.68, 107,685.67 and 42,222.90

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Solution

The fourth proportional to 78,033.68, 107,685.67 and 42,222.90 is: 58,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.68 : 107,685.67 = 42,222.90 : x
  2. Step 2: Convert to fraction form
    78,033.68/107,685.67 = 42,222.90/x
  3. Step 3: Cross multiply
    78,033.68x = 107,685.67 × 42,222.90
  4. Step 4: Simplify right side
    78,033.68x = 4,546,801,275.84
  5. Step 5: Solve for x
    x = 4,546,801,275.84/78,033.68
  6. Step 6: Final answer
    x = 58,267.16

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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.