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Finding the Fourth Proportional to 207,851.80, 286,828.50 and 131,412.04

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Solution

The fourth proportional to 207,851.80, 286,828.50 and 131,412.04 is: 181,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.80 : 286,828.50 = 131,412.04 : x
  2. Step 2: Convert to fraction form
    207,851.80/286,828.50 = 131,412.04/x
  3. Step 3: Cross multiply
    207,851.80x = 286,828.50 × 131,412.04
  4. Step 4: Simplify right side
    207,851.80x = 37,692,718,315.14
  5. Step 5: Solve for x
    x = 37,692,718,315.14/207,851.80
  6. Step 6: Final answer
    x = 181,344.20

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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.