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Finding the Fourth Proportional to 77,358.51, 115,889.54 and 52,355.43

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Solution

The fourth proportional to 77,358.51, 115,889.54 and 52,355.43 is: 78,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358.51 : 115,889.54 = 52,355.43 : x
  2. Step 2: Convert to fraction form
    77,358.51/115,889.54 = 52,355.43/x
  3. Step 3: Cross multiply
    77,358.51x = 115,889.54 × 52,355.43
  4. Step 4: Simplify right side
    77,358.51x = 6,067,446,437.43
  5. Step 5: Solve for x
    x = 6,067,446,437.43/77,358.51
  6. Step 6: Final answer
    x = 78,432.82

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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.