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Finding the Fourth Proportional to 70,102.38, 96,742.68 and 38,271.40

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Solution

The fourth proportional to 70,102.38, 96,742.68 and 38,271.40 is: 52,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.38 : 96,742.68 = 38,271.40 : x
  2. Step 2: Convert to fraction form
    70,102.38/96,742.68 = 38,271.40/x
  3. Step 3: Cross multiply
    70,102.38x = 96,742.68 × 38,271.40
  4. Step 4: Simplify right side
    70,102.38x = 3,702,477,803.35
  5. Step 5: Solve for x
    x = 3,702,477,803.35/70,102.38
  6. Step 6: Final answer
    x = 52,815.29

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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.