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Finding the Fourth Proportional to 96,978.84, 145,468.42 and 30,424.21

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Solution

The fourth proportional to 96,978.84, 145,468.42 and 30,424.21 is: 45,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,978.84 : 145,468.42 = 30,424.21 : x
  2. Step 2: Convert to fraction form
    96,978.84/145,468.42 = 30,424.21/x
  3. Step 3: Cross multiply
    96,978.84x = 145,468.42 × 30,424.21
  4. Step 4: Simplify right side
    96,978.84x = 4,425,761,031.11
  5. Step 5: Solve for x
    x = 4,425,761,031.11/96,978.84
  6. Step 6: Final answer
    x = 45,636.36

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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.