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Finding the Fourth Proportional to 207,854.42, 286,647.80 and 136,208.42

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Solution

The fourth proportional to 207,854.42, 286,647.80 and 136,208.42 is: 187,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,854.42 : 286,647.80 = 136,208.42 : x
  2. Step 2: Convert to fraction form
    207,854.42/286,647.80 = 136,208.42/x
  3. Step 3: Cross multiply
    207,854.42x = 286,647.80 × 136,208.42
  4. Step 4: Simplify right side
    207,854.42x = 39,043,843,934.48
  5. Step 5: Solve for x
    x = 39,043,843,934.48/207,854.42
  6. Step 6: Final answer
    x = 187,842.26

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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.