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Finding the Fourth Proportional to 252,206.16, 378,368.12 and 85,994.32

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Solution

The fourth proportional to 252,206.16, 378,368.12 and 85,994.32 is: 129,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,206.16 : 378,368.12 = 85,994.32 : x
  2. Step 2: Convert to fraction form
    252,206.16/378,368.12 = 85,994.32/x
  3. Step 3: Cross multiply
    252,206.16x = 378,368.12 × 85,994.32
  4. Step 4: Simplify right side
    252,206.16x = 32,537,509,189.08
  5. Step 5: Solve for x
    x = 32,537,509,189.08/252,206.16
  6. Step 6: Final answer
    x = 129,011.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.