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Finding the Fourth Proportional to 202,991.36, 280,124.16 and 112,347.32

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Solution

The fourth proportional to 202,991.36, 280,124.16 and 112,347.32 is: 155,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,991.36 : 280,124.16 = 112,347.32 : x
  2. Step 2: Convert to fraction form
    202,991.36/280,124.16 = 112,347.32/x
  3. Step 3: Cross multiply
    202,991.36x = 280,124.16 × 112,347.32
  4. Step 4: Simplify right side
    202,991.36x = 31,471,198,643.25
  5. Step 5: Solve for x
    x = 31,471,198,643.25/202,991.36
  6. Step 6: Final answer
    x = 155,037.13

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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.