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Finding the Fourth Proportional to 77,857.40, 107,443.19 and 42,047.40

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Solution

The fourth proportional to 77,857.40, 107,443.19 and 42,047.40 is: 58,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.40 : 107,443.19 = 42,047.40 : x
  2. Step 2: Convert to fraction form
    77,857.40/107,443.19 = 42,047.40/x
  3. Step 3: Cross multiply
    77,857.40x = 107,443.19 × 42,047.40
  4. Step 4: Simplify right side
    77,857.40x = 4,517,706,787.21
  5. Step 5: Solve for x
    x = 4,517,706,787.21/77,857.40
  6. Step 6: Final answer
    x = 58,025.40

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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.