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Finding the Fourth Proportional to 221,695.68, 305,948.54 and 124,938.05

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Solution

The fourth proportional to 221,695.68, 305,948.54 and 124,938.05 is: 172,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,695.68 : 305,948.54 = 124,938.05 : x
  2. Step 2: Convert to fraction form
    221,695.68/305,948.54 = 124,938.05/x
  3. Step 3: Cross multiply
    221,695.68x = 305,948.54 × 124,938.05
  4. Step 4: Simplify right side
    221,695.68x = 38,224,613,987.95
  5. Step 5: Solve for x
    x = 38,224,613,987.95/221,695.68
  6. Step 6: Final answer
    x = 172,419.30

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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.