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Finding the Fourth Proportional to 51,480, 71,035.20 and 28,820.16

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Solution

The fourth proportional to 51,480, 71,035.20 and 28,820.16 is: 39,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480 : 71,035.20 = 28,820.16 : x
  2. Step 2: Convert to fraction form
    51,480/71,035.20 = 28,820.16/x
  3. Step 3: Cross multiply
    51,480x = 71,035.20 × 28,820.16
  4. Step 4: Simplify right side
    51,480x = 2,047,245,829.63
  5. Step 5: Solve for x
    x = 2,047,245,829.63/51,480
  6. Step 6: Final answer
    x = 39,767.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.