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Finding the Fourth Proportional to 202,920.64, 280,038.75 and 112,275.14

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Solution

The fourth proportional to 202,920.64, 280,038.75 and 112,275.14 is: 154,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.64 : 280,038.75 = 112,275.14 : x
  2. Step 2: Convert to fraction form
    202,920.64/280,038.75 = 112,275.14/x
  3. Step 3: Cross multiply
    202,920.64x = 280,038.75 × 112,275.14
  4. Step 4: Simplify right side
    202,920.64x = 31,441,389,861.68
  5. Step 5: Solve for x
    x = 31,441,389,861.68/202,920.64
  6. Step 6: Final answer
    x = 154,944.27

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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.