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Finding the Fourth Proportional to 75,214.80, 112,865.40 and 28,501.20

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Solution

The fourth proportional to 75,214.80, 112,865.40 and 28,501.20 is: 42,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,214.80 : 112,865.40 = 28,501.20 : x
  2. Step 2: Convert to fraction form
    75,214.80/112,865.40 = 28,501.20/x
  3. Step 3: Cross multiply
    75,214.80x = 112,865.40 × 28,501.20
  4. Step 4: Simplify right side
    75,214.80x = 3,216,799,338.48
  5. Step 5: Solve for x
    x = 3,216,799,338.48/75,214.80
  6. Step 6: Final answer
    x = 42,768.17

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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.