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Finding the Fourth Proportional to 89,655.84, 134,512.80 and 42,912

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Solution

The fourth proportional to 89,655.84, 134,512.80 and 42,912 is: 64,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,655.84 : 134,512.80 = 42,912 : x
  2. Step 2: Convert to fraction form
    89,655.84/134,512.80 = 42,912/x
  3. Step 3: Cross multiply
    89,655.84x = 134,512.80 × 42,912
  4. Step 4: Simplify right side
    89,655.84x = 5,772,213,273.60
  5. Step 5: Solve for x
    x = 5,772,213,273.60/89,655.84
  6. Step 6: Final answer
    x = 64,381.90

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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.