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Finding the Fourth Proportional to 77,148.40, 115,731.60 and 24,563.20

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Solution

The fourth proportional to 77,148.40, 115,731.60 and 24,563.20 is: 36,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.40 : 115,731.60 = 24,563.20 : x
  2. Step 2: Convert to fraction form
    77,148.40/115,731.60 = 24,563.20/x
  3. Step 3: Cross multiply
    77,148.40x = 115,731.60 × 24,563.20
  4. Step 4: Simplify right side
    77,148.40x = 2,842,738,437.12
  5. Step 5: Solve for x
    x = 2,842,738,437.12/77,148.40
  6. Step 6: Final answer
    x = 36,847.67

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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.