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Finding the Fourth Proportional to 67,877.19, 101,855.46 and 28,431

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Solution

The fourth proportional to 67,877.19, 101,855.46 and 28,431 is: 42,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,877.19 : 101,855.46 = 28,431 : x
  2. Step 2: Convert to fraction form
    67,877.19/101,855.46 = 28,431/x
  3. Step 3: Cross multiply
    67,877.19x = 101,855.46 × 28,431
  4. Step 4: Simplify right side
    67,877.19x = 2,895,852,583.26
  5. Step 5: Solve for x
    x = 2,895,852,583.26/67,877.19
  6. Step 6: Final answer
    x = 42,663.12

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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.