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Finding the Fourth Proportional to 53,428.86, 80,142.84 and 15,987.87

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Solution

The fourth proportional to 53,428.86, 80,142.84 and 15,987.87 is: 23,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428.86 : 80,142.84 = 15,987.87 : x
  2. Step 2: Convert to fraction form
    53,428.86/80,142.84 = 15,987.87/x
  3. Step 3: Cross multiply
    53,428.86x = 80,142.84 × 15,987.87
  4. Step 4: Simplify right side
    53,428.86x = 1,281,313,307.35
  5. Step 5: Solve for x
    x = 1,281,313,307.35/53,428.86
  6. Step 6: Final answer
    x = 23,981.67

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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.