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Finding the Fourth Proportional to 206,749.93, 310,146.35 and 56,990.25

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Solution

The fourth proportional to 206,749.93, 310,146.35 and 56,990.25 is: 85,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,749.93 : 310,146.35 = 56,990.25 : x
  2. Step 2: Convert to fraction form
    206,749.93/310,146.35 = 56,990.25/x
  3. Step 3: Cross multiply
    206,749.93x = 310,146.35 × 56,990.25
  4. Step 4: Simplify right side
    206,749.93x = 17,675,318,023.09
  5. Step 5: Solve for x
    x = 17,675,318,023.09/206,749.93
  6. Step 6: Final answer
    x = 85,491.29

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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.