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Finding the Fourth Proportional to 257,467.50, 386,259.66 and 91,255.50

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Solution

The fourth proportional to 257,467.50, 386,259.66 and 91,255.50 is: 136,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,467.50 : 386,259.66 = 91,255.50 : x
  2. Step 2: Convert to fraction form
    257,467.50/386,259.66 = 91,255.50/x
  3. Step 3: Cross multiply
    257,467.50x = 386,259.66 × 91,255.50
  4. Step 4: Simplify right side
    257,467.50x = 35,248,318,403.13
  5. Step 5: Solve for x
    x = 35,248,318,403.13/257,467.50
  6. Step 6: Final answer
    x = 136,903.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.