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Finding the Fourth Proportional to 202,952.50, 280,070.25 and 112,308.40

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Solution

The fourth proportional to 202,952.50, 280,070.25 and 112,308.40 is: 154,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.50 : 280,070.25 = 112,308.40 : x
  2. Step 2: Convert to fraction form
    202,952.50/280,070.25 = 112,308.40/x
  3. Step 3: Cross multiply
    202,952.50x = 280,070.25 × 112,308.40
  4. Step 4: Simplify right side
    202,952.50x = 31,454,241,665.10
  5. Step 5: Solve for x
    x = 31,454,241,665.10/202,952.50
  6. Step 6: Final answer
    x = 154,983.27

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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.