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Finding the Fourth Proportional to 75,222.80, 112,877.40 and 28,509.20

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Solution

The fourth proportional to 75,222.80, 112,877.40 and 28,509.20 is: 42,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222.80 : 112,877.40 = 28,509.20 : x
  2. Step 2: Convert to fraction form
    75,222.80/112,877.40 = 28,509.20/x
  3. Step 3: Cross multiply
    75,222.80x = 112,877.40 × 28,509.20
  4. Step 4: Simplify right side
    75,222.80x = 3,218,044,372.08
  5. Step 5: Solve for x
    x = 3,218,044,372.08/75,222.80
  6. Step 6: Final answer
    x = 42,780.17

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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.