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Finding the Fourth Proportional to 86,206.86, 118,981.80 and 53,956.44

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Solution

The fourth proportional to 86,206.86, 118,981.80 and 53,956.44 is: 74,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,206.86 : 118,981.80 = 53,956.44 : x
  2. Step 2: Convert to fraction form
    86,206.86/118,981.80 = 53,956.44/x
  3. Step 3: Cross multiply
    86,206.86x = 118,981.80 × 53,956.44
  4. Step 4: Simplify right side
    86,206.86x = 6,419,834,352.79
  5. Step 5: Solve for x
    x = 6,419,834,352.79/86,206.86
  6. Step 6: Final answer
    x = 74,470.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.