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Finding the Fourth Proportional to 202,952.40, 280,070.12 and 112,308.31

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Solution

The fourth proportional to 202,952.40, 280,070.12 and 112,308.31 is: 154,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.40 : 280,070.12 = 112,308.31 : x
  2. Step 2: Convert to fraction form
    202,952.40/280,070.12 = 112,308.31/x
  3. Step 3: Cross multiply
    202,952.40x = 280,070.12 × 112,308.31
  4. Step 4: Simplify right side
    202,952.40x = 31,454,201,439.29
  5. Step 5: Solve for x
    x = 31,454,201,439.29/202,952.40
  6. Step 6: Final answer
    x = 154,983.14

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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.