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Finding the Fourth Proportional to 64,719.63, 97,073.06 and 20,345.20

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Solution

The fourth proportional to 64,719.63, 97,073.06 and 20,345.20 is: 30,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,719.63 : 97,073.06 = 20,345.20 : x
  2. Step 2: Convert to fraction form
    64,719.63/97,073.06 = 20,345.20/x
  3. Step 3: Cross multiply
    64,719.63x = 97,073.06 × 20,345.20
  4. Step 4: Simplify right side
    64,719.63x = 1,974,970,475.90
  5. Step 5: Solve for x
    x = 1,974,970,475.90/64,719.63
  6. Step 6: Final answer
    x = 30,515.79

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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.