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Finding the Fourth Proportional to 70,897.61, 106,346.11 and 20,978.02

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Solution

The fourth proportional to 70,897.61, 106,346.11 and 20,978.02 is: 31,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,897.61 : 106,346.11 = 20,978.02 : x
  2. Step 2: Convert to fraction form
    70,897.61/106,346.11 = 20,978.02/x
  3. Step 3: Cross multiply
    70,897.61x = 106,346.11 × 20,978.02
  4. Step 4: Simplify right side
    70,897.61x = 2,230,930,822.50
  5. Step 5: Solve for x
    x = 2,230,930,822.50/70,897.61
  6. Step 6: Final answer
    x = 31,466.94

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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.