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Finding the Fourth Proportional to 257,053.74, 354,734.06 and 143,876.50

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Solution

The fourth proportional to 257,053.74, 354,734.06 and 143,876.50 is: 198,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.74 : 354,734.06 = 143,876.50 : x
  2. Step 2: Convert to fraction form
    257,053.74/354,734.06 = 143,876.50/x
  3. Step 3: Cross multiply
    257,053.74x = 354,734.06 × 143,876.50
  4. Step 4: Simplify right side
    257,053.74x = 51,037,894,983.59
  5. Step 5: Solve for x
    x = 51,037,894,983.59/257,053.74
  6. Step 6: Final answer
    x = 198,549.51

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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.