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Finding the Fourth Proportional to 78,692.40, 108,596.70 and 42,882.30

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Solution

The fourth proportional to 78,692.40, 108,596.70 and 42,882.30 is: 59,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,692.40 : 108,596.70 = 42,882.30 : x
  2. Step 2: Convert to fraction form
    78,692.40/108,596.70 = 42,882.30/x
  3. Step 3: Cross multiply
    78,692.40x = 108,596.70 × 42,882.30
  4. Step 4: Simplify right side
    78,692.40x = 4,656,876,268.41
  5. Step 5: Solve for x
    x = 4,656,876,268.41/78,692.40
  6. Step 6: Final answer
    x = 59,178.22

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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.