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Finding the Fourth Proportional to 64,930, 89,603.40 and 35,122

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Solution

The fourth proportional to 64,930, 89,603.40 and 35,122 is: 48,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,930 : 89,603.40 = 35,122 : x
  2. Step 2: Convert to fraction form
    64,930/89,603.40 = 35,122/x
  3. Step 3: Cross multiply
    64,930x = 89,603.40 × 35,122
  4. Step 4: Simplify right side
    64,930x = 3,147,050,614.80
  5. Step 5: Solve for x
    x = 3,147,050,614.80/64,930
  6. Step 6: Final answer
    x = 48,468.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.