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Finding the Fourth Proportional to 199,411.80, 299,131.30 and 57,246.12

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Solution

The fourth proportional to 199,411.80, 299,131.30 and 57,246.12 is: 85,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.80 : 299,131.30 = 57,246.12 : x
  2. Step 2: Convert to fraction form
    199,411.80/299,131.30 = 57,246.12/x
  3. Step 3: Cross multiply
    199,411.80x = 299,131.30 × 57,246.12
  4. Step 4: Simplify right side
    199,411.80x = 17,124,105,686.81
  5. Step 5: Solve for x
    x = 17,124,105,686.81/199,411.80
  6. Step 6: Final answer
    x = 85,873.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.