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Finding the Fourth Proportional to 125,067.42, 172,623.42 and 77,292

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Solution

The fourth proportional to 125,067.42, 172,623.42 and 77,292 is: 106,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,067.42 : 172,623.42 = 77,292 : x
  2. Step 2: Convert to fraction form
    125,067.42/172,623.42 = 77,292/x
  3. Step 3: Cross multiply
    125,067.42x = 172,623.42 × 77,292
  4. Step 4: Simplify right side
    125,067.42x = 13,342,409,378.64
  5. Step 5: Solve for x
    x = 13,342,409,378.64/125,067.42
  6. Step 6: Final answer
    x = 106,681.74

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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.