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Finding the Fourth Proportional to 64,967.20, 97,450.78 and 15,719.20

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Solution

The fourth proportional to 64,967.20, 97,450.78 and 15,719.20 is: 23,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.20 : 97,450.78 = 15,719.20 : x
  2. Step 2: Convert to fraction form
    64,967.20/97,450.78 = 15,719.20/x
  3. Step 3: Cross multiply
    64,967.20x = 97,450.78 × 15,719.20
  4. Step 4: Simplify right side
    64,967.20x = 1,531,848,300.98
  5. Step 5: Solve for x
    x = 1,531,848,300.98/64,967.20
  6. Step 6: Final answer
    x = 23,578.80

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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.