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Finding the Fourth Proportional to 218,384.86, 301,370.98 and 122,891.64

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Solution

The fourth proportional to 218,384.86, 301,370.98 and 122,891.64 is: 169,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,384.86 : 301,370.98 = 122,891.64 : x
  2. Step 2: Convert to fraction form
    218,384.86/301,370.98 = 122,891.64/x
  3. Step 3: Cross multiply
    218,384.86x = 301,370.98 × 122,891.64
  4. Step 4: Simplify right side
    218,384.86x = 37,035,973,980.61
  5. Step 5: Solve for x
    x = 37,035,973,980.61/218,384.86
  6. Step 6: Final answer
    x = 169,590.39

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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.