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Finding the Fourth Proportional to 202,952.72, 280,070.55 and 112,308.62

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Solution

The fourth proportional to 202,952.72, 280,070.55 and 112,308.62 is: 154,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.72 : 280,070.55 = 112,308.62 : x
  2. Step 2: Convert to fraction form
    202,952.72/280,070.55 = 112,308.62/x
  3. Step 3: Cross multiply
    202,952.72x = 280,070.55 × 112,308.62
  4. Step 4: Simplify right side
    202,952.72x = 31,454,335,572.79
  5. Step 5: Solve for x
    x = 31,454,335,572.79/202,952.72
  6. Step 6: Final answer
    x = 154,983.57

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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.