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Finding the Fourth Proportional to 257,206.56, 385,835.56 and 88,704.70

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Solution

The fourth proportional to 257,206.56, 385,835.56 and 88,704.70 is: 133,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,206.56 : 385,835.56 = 88,704.70 : x
  2. Step 2: Convert to fraction form
    257,206.56/385,835.56 = 88,704.70/x
  3. Step 3: Cross multiply
    257,206.56x = 385,835.56 × 88,704.70
  4. Step 4: Simplify right side
    257,206.56x = 34,225,427,599.13
  5. Step 5: Solve for x
    x = 34,225,427,599.13/257,206.56
  6. Step 6: Final answer
    x = 133,065.92

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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.