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Finding the Fourth Proportional to 123,685.76, 185,281.32 and 57,034.64

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Solution

The fourth proportional to 123,685.76, 185,281.32 and 57,034.64 is: 85,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,685.76 : 185,281.32 = 57,034.64 : x
  2. Step 2: Convert to fraction form
    123,685.76/185,281.32 = 57,034.64/x
  3. Step 3: Cross multiply
    123,685.76x = 185,281.32 × 57,034.64
  4. Step 4: Simplify right side
    123,685.76x = 10,567,453,384.92
  5. Step 5: Solve for x
    x = 10,567,453,384.92/123,685.76
  6. Step 6: Final answer
    x = 85,437.91

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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.