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Finding the Fourth Proportional to 218,971.61, 328,311.57 and 78,712.01

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Solution

The fourth proportional to 218,971.61, 328,311.57 and 78,712.01 is: 118,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.61 : 328,311.57 = 78,712.01 : x
  2. Step 2: Convert to fraction form
    218,971.61/328,311.57 = 78,712.01/x
  3. Step 3: Cross multiply
    218,971.61x = 328,311.57 × 78,712.01
  4. Step 4: Simplify right side
    218,971.61x = 25,842,063,580.96
  5. Step 5: Solve for x
    x = 25,842,063,580.96/218,971.61
  6. Step 6: Final answer
    x = 118,015.59

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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.