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Finding the Fourth Proportional to 73,164, 100,966.32 and 39,630

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Solution

The fourth proportional to 73,164, 100,966.32 and 39,630 is: 54,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164 : 100,966.32 = 39,630 : x
  2. Step 2: Convert to fraction form
    73,164/100,966.32 = 39,630/x
  3. Step 3: Cross multiply
    73,164x = 100,966.32 × 39,630
  4. Step 4: Simplify right side
    73,164x = 4,001,295,261.60
  5. Step 5: Solve for x
    x = 4,001,295,261.60/73,164
  6. Step 6: Final answer
    x = 54,689.40

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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.