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Finding the Fourth Proportional to 64,896, 97,348.80 and 27,960

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Solution

The fourth proportional to 64,896, 97,348.80 and 27,960 is: 41,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896 : 97,348.80 = 27,960 : x
  2. Step 2: Convert to fraction form
    64,896/97,348.80 = 27,960/x
  3. Step 3: Cross multiply
    64,896x = 97,348.80 × 27,960
  4. Step 4: Simplify right side
    64,896x = 2,721,872,448
  5. Step 5: Solve for x
    x = 2,721,872,448/64,896
  6. Step 6: Final answer
    x = 41,942.07

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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.