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Finding the Fourth Proportional to 65,303.35, 97,878.48 and 30,169.20

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Solution

The fourth proportional to 65,303.35, 97,878.48 and 30,169.20 is: 45,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,303.35 : 97,878.48 = 30,169.20 : x
  2. Step 2: Convert to fraction form
    65,303.35/97,878.48 = 30,169.20/x
  3. Step 3: Cross multiply
    65,303.35x = 97,878.48 × 30,169.20
  4. Step 4: Simplify right side
    65,303.35x = 2,952,915,438.82
  5. Step 5: Solve for x
    x = 2,952,915,438.82/65,303.35
  6. Step 6: Final answer
    x = 45,218.44

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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.