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Finding the Fourth Proportional to 222,013.40, 306,377.88 and 120,038.16

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Solution

The fourth proportional to 222,013.40, 306,377.88 and 120,038.16 is: 165,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,013.40 : 306,377.88 = 120,038.16 : x
  2. Step 2: Convert to fraction form
    222,013.40/306,377.88 = 120,038.16/x
  3. Step 3: Cross multiply
    222,013.40x = 306,377.88 × 120,038.16
  4. Step 4: Simplify right side
    222,013.40x = 36,777,036,979.90
  5. Step 5: Solve for x
    x = 36,777,036,979.90/222,013.40
  6. Step 6: Final answer
    x = 165,652.33

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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.