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Finding the Fourth Proportional to 65,102.24, 97,648.40 and 20,730.40

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Solution

The fourth proportional to 65,102.24, 97,648.40 and 20,730.40 is: 31,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.24 : 97,648.40 = 20,730.40 : x
  2. Step 2: Convert to fraction form
    65,102.24/97,648.40 = 20,730.40/x
  3. Step 3: Cross multiply
    65,102.24x = 97,648.40 × 20,730.40
  4. Step 4: Simplify right side
    65,102.24x = 2,024,290,391.36
  5. Step 5: Solve for x
    x = 2,024,290,391.36/65,102.24
  6. Step 6: Final answer
    x = 31,094.02

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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.