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Finding the Fourth Proportional to 71,767.30, 107,638.53 and 21,835.30

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Solution

The fourth proportional to 71,767.30, 107,638.53 and 21,835.30 is: 32,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,767.30 : 107,638.53 = 21,835.30 : x
  2. Step 2: Convert to fraction form
    71,767.30/107,638.53 = 21,835.30/x
  3. Step 3: Cross multiply
    71,767.30x = 107,638.53 × 21,835.30
  4. Step 4: Simplify right side
    71,767.30x = 2,350,319,594.11
  5. Step 5: Solve for x
    x = 2,350,319,594.11/71,767.30
  6. Step 6: Final answer
    x = 32,749.17

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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.