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Finding the Fourth Proportional to 52,113.60, 78,208.80 and 20,971.20

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Solution

The fourth proportional to 52,113.60, 78,208.80 and 20,971.20 is: 31,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.60 : 78,208.80 = 20,971.20 : x
  2. Step 2: Convert to fraction form
    52,113.60/78,208.80 = 20,971.20/x
  3. Step 3: Cross multiply
    52,113.60x = 78,208.80 × 20,971.20
  4. Step 4: Simplify right side
    52,113.60x = 1,640,132,386.56
  5. Step 5: Solve for x
    x = 1,640,132,386.56/52,113.60
  6. Step 6: Final answer
    x = 31,472.25

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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.