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Finding the Fourth Proportional to 60,135.76, 90,212.28 and 18,586

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Solution

The fourth proportional to 60,135.76, 90,212.28 and 18,586 is: 27,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,135.76 : 90,212.28 = 18,586 : x
  2. Step 2: Convert to fraction form
    60,135.76/90,212.28 = 18,586/x
  3. Step 3: Cross multiply
    60,135.76x = 90,212.28 × 18,586
  4. Step 4: Simplify right side
    60,135.76x = 1,676,685,436.08
  5. Step 5: Solve for x
    x = 1,676,685,436.08/60,135.76
  6. Step 6: Final answer
    x = 27,881.67

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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.