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Finding the Fourth Proportional to 202,991.61, 280,119.81 and 112,339.10

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Solution

The fourth proportional to 202,991.61, 280,119.81 and 112,339.10 is: 155,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,991.61 : 280,119.81 = 112,339.10 : x
  2. Step 2: Convert to fraction form
    202,991.61/280,119.81 = 112,339.10/x
  3. Step 3: Cross multiply
    202,991.61x = 280,119.81 × 112,339.10
  4. Step 4: Simplify right side
    202,991.61x = 31,468,407,347.57
  5. Step 5: Solve for x
    x = 31,468,407,347.57/202,991.61
  6. Step 6: Final answer
    x = 155,023.19

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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.