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Finding the Fourth Proportional to 65,138.20, 97,448.10 and 56,469.40

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Solution

The fourth proportional to 65,138.20, 97,448.10 and 56,469.40 is: 84,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.20 : 97,448.10 = 56,469.40 : x
  2. Step 2: Convert to fraction form
    65,138.20/97,448.10 = 56,469.40/x
  3. Step 3: Cross multiply
    65,138.20x = 97,448.10 × 56,469.40
  4. Step 4: Simplify right side
    65,138.20x = 5,502,835,738.14
  5. Step 5: Solve for x
    x = 5,502,835,738.14/65,138.20
  6. Step 6: Final answer
    x = 84,479.40

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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.