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Finding the Fourth Proportional to 77,358.72, 115,917.30 and 53,712.36

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Solution

The fourth proportional to 77,358.72, 115,917.30 and 53,712.36 is: 80,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358.72 : 115,917.30 = 53,712.36 : x
  2. Step 2: Convert to fraction form
    77,358.72/115,917.30 = 53,712.36/x
  3. Step 3: Cross multiply
    77,358.72x = 115,917.30 × 53,712.36
  4. Step 4: Simplify right side
    77,358.72x = 6,226,191,747.83
  5. Step 5: Solve for x
    x = 6,226,191,747.83/77,358.72
  6. Step 6: Final answer
    x = 80,484.68

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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.