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Finding the Fourth Proportional to 257,011.67, 385,543.32 and 88,509.80

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Solution

The fourth proportional to 257,011.67, 385,543.32 and 88,509.80 is: 132,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,011.67 : 385,543.32 = 88,509.80 : x
  2. Step 2: Convert to fraction form
    257,011.67/385,543.32 = 88,509.80/x
  3. Step 3: Cross multiply
    257,011.67x = 385,543.32 × 88,509.80
  4. Step 4: Simplify right side
    257,011.67x = 34,124,360,216.82
  5. Step 5: Solve for x
    x = 34,124,360,216.82/257,011.67
  6. Step 6: Final answer
    x = 132,773.59

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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.