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Finding the Fourth Proportional to 65,719.20, 98,578.80 and 21,347.40

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Solution

The fourth proportional to 65,719.20, 98,578.80 and 21,347.40 is: 32,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,719.20 : 98,578.80 = 21,347.40 : x
  2. Step 2: Convert to fraction form
    65,719.20/98,578.80 = 21,347.40/x
  3. Step 3: Cross multiply
    65,719.20x = 98,578.80 × 21,347.40
  4. Step 4: Simplify right side
    65,719.20x = 2,104,401,075.12
  5. Step 5: Solve for x
    x = 2,104,401,075.12/65,719.20
  6. Step 6: Final answer
    x = 32,021.10

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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.