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Finding the Fourth Proportional to 65,020.97, 97,530.51 and 20,647.08

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Solution

The fourth proportional to 65,020.97, 97,530.51 and 20,647.08 is: 30,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.97 : 97,530.51 = 20,647.08 : x
  2. Step 2: Convert to fraction form
    65,020.97/97,530.51 = 20,647.08/x
  3. Step 3: Cross multiply
    65,020.97x = 97,530.51 × 20,647.08
  4. Step 4: Simplify right side
    65,020.97x = 2,013,720,242.41
  5. Step 5: Solve for x
    x = 2,013,720,242.41/65,020.97
  6. Step 6: Final answer
    x = 30,970.32

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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.