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Finding the Fourth Proportional to 157,705, 217,575.84 and 121,417.48

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Solution

The fourth proportional to 157,705, 217,575.84 and 121,417.48 is: 167,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,705 : 217,575.84 = 121,417.48 : x
  2. Step 2: Convert to fraction form
    157,705/217,575.84 = 121,417.48/x
  3. Step 3: Cross multiply
    157,705x = 217,575.84 × 121,417.48
  4. Step 4: Simplify right side
    157,705x = 26,417,510,201.68
  5. Step 5: Solve for x
    x = 26,417,510,201.68/157,705
  6. Step 6: Final answer
    x = 167,512.19

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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.