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Finding the Fourth Proportional to 64,716, 97,074 and 17,968.92

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Solution

The fourth proportional to 64,716, 97,074 and 17,968.92 is: 26,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716 : 97,074 = 17,968.92 : x
  2. Step 2: Convert to fraction form
    64,716/97,074 = 17,968.92/x
  3. Step 3: Cross multiply
    64,716x = 97,074 × 17,968.92
  4. Step 4: Simplify right side
    64,716x = 1,744,314,940.08
  5. Step 5: Solve for x
    x = 1,744,314,940.08/64,716
  6. Step 6: Final answer
    x = 26,953.38

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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.