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Finding the Fourth Proportional to 102,757.68, 141,803.46 and 57,434.40

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Solution

The fourth proportional to 102,757.68, 141,803.46 and 57,434.40 is: 79,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,757.68 : 141,803.46 = 57,434.40 : x
  2. Step 2: Convert to fraction form
    102,757.68/141,803.46 = 57,434.40/x
  3. Step 3: Cross multiply
    102,757.68x = 141,803.46 × 57,434.40
  4. Step 4: Simplify right side
    102,757.68x = 8,144,396,643.02
  5. Step 5: Solve for x
    x = 8,144,396,643.02/102,757.68
  6. Step 6: Final answer
    x = 79,258.28

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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.