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Finding the Fourth Proportional to 123,566.64, 170,521.78 and 66,978.02

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Solution

The fourth proportional to 123,566.64, 170,521.78 and 66,978.02 is: 92,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,566.64 : 170,521.78 = 66,978.02 : x
  2. Step 2: Convert to fraction form
    123,566.64/170,521.78 = 66,978.02/x
  3. Step 3: Cross multiply
    123,566.64x = 170,521.78 × 66,978.02
  4. Step 4: Simplify right side
    123,566.64x = 11,421,211,191.28
  5. Step 5: Solve for x
    x = 11,421,211,191.28/123,566.64
  6. Step 6: Final answer
    x = 92,429.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.