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Finding the Fourth Proportional to 70,120.64, 96,768.72 and 38,291.20

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Solution

The fourth proportional to 70,120.64, 96,768.72 and 38,291.20 is: 52,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120.64 : 96,768.72 = 38,291.20 : x
  2. Step 2: Convert to fraction form
    70,120.64/96,768.72 = 38,291.20/x
  3. Step 3: Cross multiply
    70,120.64x = 96,768.72 × 38,291.20
  4. Step 4: Simplify right side
    70,120.64x = 3,705,390,411.26
  5. Step 5: Solve for x
    x = 3,705,390,411.26/70,120.64
  6. Step 6: Final answer
    x = 52,843.08

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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.