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Finding the Fourth Proportional to 207,307.60, 286,115.40 and 126,782.80

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Solution

The fourth proportional to 207,307.60, 286,115.40 and 126,782.80 is: 174,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,307.60 : 286,115.40 = 126,782.80 : x
  2. Step 2: Convert to fraction form
    207,307.60/286,115.40 = 126,782.80/x
  3. Step 3: Cross multiply
    207,307.60x = 286,115.40 × 126,782.80
  4. Step 4: Simplify right side
    207,307.60x = 36,274,511,535.12
  5. Step 5: Solve for x
    x = 36,274,511,535.12/207,307.60
  6. Step 6: Final answer
    x = 174,979.17

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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.