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Finding the Fourth Proportional to 203,856.40, 281,312.40 and 113,218.16

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Solution

The fourth proportional to 203,856.40, 281,312.40 and 113,218.16 is: 156,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.40 : 281,312.40 = 113,218.16 : x
  2. Step 2: Convert to fraction form
    203,856.40/281,312.40 = 113,218.16/x
  3. Step 3: Cross multiply
    203,856.40x = 281,312.40 × 113,218.16
  4. Step 4: Simplify right side
    203,856.40x = 31,849,672,313.18
  5. Step 5: Solve for x
    x = 31,849,672,313.18/203,856.40
  6. Step 6: Final answer
    x = 156,235.82

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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.