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Finding the Fourth Proportional to 202,895.76, 280,004.40 and 112,250.16

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Solution

The fourth proportional to 202,895.76, 280,004.40 and 112,250.16 is: 154,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,895.76 : 280,004.40 = 112,250.16 : x
  2. Step 2: Convert to fraction form
    202,895.76/280,004.40 = 112,250.16/x
  3. Step 3: Cross multiply
    202,895.76x = 280,004.40 × 112,250.16
  4. Step 4: Simplify right side
    202,895.76x = 31,430,538,700.70
  5. Step 5: Solve for x
    x = 31,430,538,700.70/202,895.76
  6. Step 6: Final answer
    x = 154,909.79

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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.