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Finding the Fourth Proportional to 70,869.78, 106,319.93 and 35,350.20

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Solution

The fourth proportional to 70,869.78, 106,319.93 and 35,350.20 is: 53,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,869.78 : 106,319.93 = 35,350.20 : x
  2. Step 2: Convert to fraction form
    70,869.78/106,319.93 = 35,350.20/x
  3. Step 3: Cross multiply
    70,869.78x = 106,319.93 × 35,350.20
  4. Step 4: Simplify right side
    70,869.78x = 3,758,430,612.74
  5. Step 5: Solve for x
    x = 3,758,430,612.74/70,869.78
  6. Step 6: Final answer
    x = 53,032.91

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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.