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Finding the Fourth Proportional to 210,695.28, 290,759.76 and 120,047.28

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Solution

The fourth proportional to 210,695.28, 290,759.76 and 120,047.28 is: 165,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,695.28 : 290,759.76 = 120,047.28 : x
  2. Step 2: Convert to fraction form
    210,695.28/290,759.76 = 120,047.28/x
  3. Step 3: Cross multiply
    210,695.28x = 290,759.76 × 120,047.28
  4. Step 4: Simplify right side
    210,695.28x = 34,904,918,321.45
  5. Step 5: Solve for x
    x = 34,904,918,321.45/210,695.28
  6. Step 6: Final answer
    x = 165,665.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.