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Finding the Fourth Proportional to 212,273.12, 292,978.80 and 121,689.92

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Solution

The fourth proportional to 212,273.12, 292,978.80 and 121,689.92 is: 167,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,273.12 : 292,978.80 = 121,689.92 : x
  2. Step 2: Convert to fraction form
    212,273.12/292,978.80 = 121,689.92/x
  3. Step 3: Cross multiply
    212,273.12x = 292,978.80 × 121,689.92
  4. Step 4: Simplify right side
    212,273.12x = 35,652,566,733.70
  5. Step 5: Solve for x
    x = 35,652,566,733.70/212,273.12
  6. Step 6: Final answer
    x = 167,956.11

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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.