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Finding the Fourth Proportional to 123,292.88, 185,041.08 and 64,146

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Solution

The fourth proportional to 123,292.88, 185,041.08 and 64,146 is: 96,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,292.88 : 185,041.08 = 64,146 : x
  2. Step 2: Convert to fraction form
    123,292.88/185,041.08 = 64,146/x
  3. Step 3: Cross multiply
    123,292.88x = 185,041.08 × 64,146
  4. Step 4: Simplify right side
    123,292.88x = 11,869,645,117.68
  5. Step 5: Solve for x
    x = 11,869,645,117.68/123,292.88
  6. Step 6: Final answer
    x = 96,271.94

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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.