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Finding the Fourth Proportional to 77,855.30, 107,440.30 and 42,045.31

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Solution

The fourth proportional to 77,855.30, 107,440.30 and 42,045.31 is: 58,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,855.30 : 107,440.30 = 42,045.31 : x
  2. Step 2: Convert to fraction form
    77,855.30/107,440.30 = 42,045.31/x
  3. Step 3: Cross multiply
    77,855.30x = 107,440.30 × 42,045.31
  4. Step 4: Simplify right side
    77,855.30x = 4,517,360,719.99
  5. Step 5: Solve for x
    x = 4,517,360,719.99/77,855.30
  6. Step 6: Final answer
    x = 58,022.52

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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.