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Finding the Fourth Proportional to 123,698.61, 185,284.94 and 83,742.12

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Solution

The fourth proportional to 123,698.61, 185,284.94 and 83,742.12 is: 125,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,698.61 : 185,284.94 = 83,742.12 : x
  2. Step 2: Convert to fraction form
    123,698.61/185,284.94 = 83,742.12/x
  3. Step 3: Cross multiply
    123,698.61x = 185,284.94 × 83,742.12
  4. Step 4: Simplify right side
    123,698.61x = 15,516,153,260.96
  5. Step 5: Solve for x
    x = 15,516,153,260.96/123,698.61
  6. Step 6: Final answer
    x = 125,435.15

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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.