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Finding the Fourth Proportional to 257,152.83, 385,754.60 and 88,650.98

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Solution

The fourth proportional to 257,152.83, 385,754.60 and 88,650.98 is: 132,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,152.83 : 385,754.60 = 88,650.98 : x
  2. Step 2: Convert to fraction form
    257,152.83/385,754.60 = 88,650.98/x
  3. Step 3: Cross multiply
    257,152.83x = 385,754.60 × 88,650.98
  4. Step 4: Simplify right side
    257,152.83x = 34,197,524,153.88
  5. Step 5: Solve for x
    x = 34,197,524,153.88/257,152.83
  6. Step 6: Final answer
    x = 132,985.22

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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.