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Finding the Fourth Proportional to 210,758.08, 290,842.08 and 115,264.48

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Solution

The fourth proportional to 210,758.08, 290,842.08 and 115,264.48 is: 159,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,758.08 : 290,842.08 = 115,264.48 : x
  2. Step 2: Convert to fraction form
    210,758.08/290,842.08 = 115,264.48/x
  3. Step 3: Cross multiply
    210,758.08x = 290,842.08 × 115,264.48
  4. Step 4: Simplify right side
    210,758.08x = 33,523,761,113.32
  5. Step 5: Solve for x
    x = 33,523,761,113.32/210,758.08
  6. Step 6: Final answer
    x = 159,062.76

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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.