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Finding the Fourth Proportional to 64,864, 97,170.12 and 42,609.84

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Solution

The fourth proportional to 64,864, 97,170.12 and 42,609.84 is: 63,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864 : 97,170.12 = 42,609.84 : x
  2. Step 2: Convert to fraction form
    64,864/97,170.12 = 42,609.84/x
  3. Step 3: Cross multiply
    64,864x = 97,170.12 × 42,609.84
  4. Step 4: Simplify right side
    64,864x = 4,140,403,265.98
  5. Step 5: Solve for x
    x = 4,140,403,265.98/64,864
  6. Step 6: Final answer
    x = 63,832.07

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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.