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Finding the Fourth Proportional to 52,242.96, 78,368.16 and 25,921.20

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Solution

The fourth proportional to 52,242.96, 78,368.16 and 25,921.20 is: 38,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,242.96 : 78,368.16 = 25,921.20 : x
  2. Step 2: Convert to fraction form
    52,242.96/78,368.16 = 25,921.20/x
  3. Step 3: Cross multiply
    52,242.96x = 78,368.16 × 25,921.20
  4. Step 4: Simplify right side
    52,242.96x = 2,031,396,748.99
  5. Step 5: Solve for x
    x = 2,031,396,748.99/52,242.96
  6. Step 6: Final answer
    x = 38,883.65

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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.