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Finding the Fourth Proportional to 77,118.72, 115,599.30 and 43,768.32

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Solution

The fourth proportional to 77,118.72, 115,599.30 and 43,768.32 is: 65,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,118.72 : 115,599.30 = 43,768.32 : x
  2. Step 2: Convert to fraction form
    77,118.72/115,599.30 = 43,768.32/x
  3. Step 3: Cross multiply
    77,118.72x = 115,599.30 × 43,768.32
  4. Step 4: Simplify right side
    77,118.72x = 5,059,587,154.18
  5. Step 5: Solve for x
    x = 5,059,587,154.18/77,118.72
  6. Step 6: Final answer
    x = 65,607.77

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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.