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Finding the Fourth Proportional to 144,209.88, 216,278.31 and 42,984.57

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Solution

The fourth proportional to 144,209.88, 216,278.31 and 42,984.57 is: 64,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,209.88 : 216,278.31 = 42,984.57 : x
  2. Step 2: Convert to fraction form
    144,209.88/216,278.31 = 42,984.57/x
  3. Step 3: Cross multiply
    144,209.88x = 216,278.31 × 42,984.57
  4. Step 4: Simplify right side
    144,209.88x = 9,296,630,155.68
  5. Step 5: Solve for x
    x = 9,296,630,155.68/144,209.88
  6. Step 6: Final answer
    x = 64,465.97

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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.