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Finding the Fourth Proportional to 31,207.10, 43,767.70 and 31,207.10

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Solution

The fourth proportional to 31,207.10, 43,767.70 and 31,207.10 is: 43,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.10 : 43,767.70 = 31,207.10 : x
  2. Step 2: Convert to fraction form
    31,207.10/43,767.70 = 31,207.10/x
  3. Step 3: Cross multiply
    31,207.10x = 43,767.70 × 31,207.10
  4. Step 4: Simplify right side
    31,207.10x = 1,365,862,990.67
  5. Step 5: Solve for x
    x = 1,365,862,990.67/31,207.10
  6. Step 6: Final answer
    x = 43,767.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.