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Finding the Fourth Proportional to 202,952.91, 280,070.81 and 112,308.81

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Solution

The fourth proportional to 202,952.91, 280,070.81 and 112,308.81 is: 154,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.91 : 280,070.81 = 112,308.81 : x
  2. Step 2: Convert to fraction form
    202,952.91/280,070.81 = 112,308.81/x
  3. Step 3: Cross multiply
    202,952.91x = 280,070.81 × 112,308.81
  4. Step 4: Simplify right side
    202,952.91x = 31,454,419,386.84
  5. Step 5: Solve for x
    x = 31,454,419,386.84/202,952.91
  6. Step 6: Final answer
    x = 154,983.83

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1.5x scale

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.