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Finding the Fourth Proportional to 64,758.12, 97,144.12 and 20,386.20

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Solution

The fourth proportional to 64,758.12, 97,144.12 and 20,386.20 is: 30,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,758.12 : 97,144.12 = 20,386.20 : x
  2. Step 2: Convert to fraction form
    64,758.12/97,144.12 = 20,386.20/x
  3. Step 3: Cross multiply
    64,758.12x = 97,144.12 × 20,386.20
  4. Step 4: Simplify right side
    64,758.12x = 1,980,399,459.14
  5. Step 5: Solve for x
    x = 1,980,399,459.14/64,758.12
  6. Step 6: Final answer
    x = 30,581.48

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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.