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Finding the Fourth Proportional to 65,666.56, 98,568.24 and 30,640

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Solution

The fourth proportional to 65,666.56, 98,568.24 and 30,640 is: 45,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,666.56 : 98,568.24 = 30,640 : x
  2. Step 2: Convert to fraction form
    65,666.56/98,568.24 = 30,640/x
  3. Step 3: Cross multiply
    65,666.56x = 98,568.24 × 30,640
  4. Step 4: Simplify right side
    65,666.56x = 3,020,130,873.60
  5. Step 5: Solve for x
    x = 3,020,130,873.60/65,666.56
  6. Step 6: Final answer
    x = 45,991.92

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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.