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Finding the Fourth Proportional to 160,287.68, 240,507.12 and 71,533.28

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Solution

The fourth proportional to 160,287.68, 240,507.12 and 71,533.28 is: 107,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,287.68 : 240,507.12 = 71,533.28 : x
  2. Step 2: Convert to fraction form
    160,287.68/240,507.12 = 71,533.28/x
  3. Step 3: Cross multiply
    160,287.68x = 240,507.12 × 71,533.28
  4. Step 4: Simplify right side
    160,287.68x = 17,204,263,156.95
  5. Step 5: Solve for x
    x = 17,204,263,156.95/160,287.68
  6. Step 6: Final answer
    x = 107,333.66

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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.