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Finding the Fourth Proportional to 52,011.88, 77,987.71 and 20,384.98

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Solution

The fourth proportional to 52,011.88, 77,987.71 and 20,384.98 is: 30,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.88 : 77,987.71 = 20,384.98 : x
  2. Step 2: Convert to fraction form
    52,011.88/77,987.71 = 20,384.98/x
  3. Step 3: Cross multiply
    52,011.88x = 77,987.71 × 20,384.98
  4. Step 4: Simplify right side
    52,011.88x = 1,589,777,908.60
  5. Step 5: Solve for x
    x = 1,589,777,908.60/52,011.88
  6. Step 6: Final answer
    x = 30,565.67

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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.