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Finding the Fourth Proportional to 285,141.20, 427,711.80 and 74,779.13

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Solution

The fourth proportional to 285,141.20, 427,711.80 and 74,779.13 is: 112,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,141.20 : 427,711.80 = 74,779.13 : x
  2. Step 2: Convert to fraction form
    285,141.20/427,711.80 = 74,779.13/x
  3. Step 3: Cross multiply
    285,141.20x = 427,711.80 × 74,779.13
  4. Step 4: Simplify right side
    285,141.20x = 31,983,914,156.18
  5. Step 5: Solve for x
    x = 31,983,914,156.18/285,141.20
  6. Step 6: Final answer
    x = 112,168.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.