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Finding the Fourth Proportional to 257,954.96, 355,876.12 and 148,987.28

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Solution

The fourth proportional to 257,954.96, 355,876.12 and 148,987.28 is: 205,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954.96 : 355,876.12 = 148,987.28 : x
  2. Step 2: Convert to fraction form
    257,954.96/355,876.12 = 148,987.28/x
  3. Step 3: Cross multiply
    257,954.96x = 355,876.12 × 148,987.28
  4. Step 4: Simplify right side
    257,954.96x = 53,021,015,135.75
  5. Step 5: Solve for x
    x = 53,021,015,135.75/257,954.96
  6. Step 6: Final answer
    x = 205,543.69

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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.