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Finding the Fourth Proportional to 288,003.80, 432,135.30 and 101,149.40

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Solution

The fourth proportional to 288,003.80, 432,135.30 and 101,149.40 is: 151,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,003.80 : 432,135.30 = 101,149.40 : x
  2. Step 2: Convert to fraction form
    288,003.80/432,135.30 = 101,149.40/x
  3. Step 3: Cross multiply
    288,003.80x = 432,135.30 × 101,149.40
  4. Step 4: Simplify right side
    288,003.80x = 43,710,226,313.82
  5. Step 5: Solve for x
    x = 43,710,226,313.82/288,003.80
  6. Step 6: Final answer
    x = 151,769.62

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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.