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Finding the Fourth Proportional to 89,770.76, 134,420.16 and 81,897.56

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Solution

The fourth proportional to 89,770.76, 134,420.16 and 81,897.56 is: 122,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,770.76 : 134,420.16 = 81,897.56 : x
  2. Step 2: Convert to fraction form
    89,770.76/134,420.16 = 81,897.56/x
  3. Step 3: Cross multiply
    89,770.76x = 134,420.16 × 81,897.56
  4. Step 4: Simplify right side
    89,770.76x = 11,008,683,118.81
  5. Step 5: Solve for x
    x = 11,008,683,118.81/89,770.76
  6. Step 6: Final answer
    x = 122,631.06

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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.