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Finding the Fourth Proportional to 77,855.90, 107,441.12 and 42,045.90

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Solution

The fourth proportional to 77,855.90, 107,441.12 and 42,045.90 is: 58,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,855.90 : 107,441.12 = 42,045.90 : x
  2. Step 2: Convert to fraction form
    77,855.90/107,441.12 = 42,045.90/x
  3. Step 3: Cross multiply
    77,855.90x = 107,441.12 × 42,045.90
  4. Step 4: Simplify right side
    77,855.90x = 4,517,458,587.41
  5. Step 5: Solve for x
    x = 4,517,458,587.41/77,855.90
  6. Step 6: Final answer
    x = 58,023.33

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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.