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Finding the Fourth Proportional to 218,038.23, 326,859.30 and 77,764.05

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Solution

The fourth proportional to 218,038.23, 326,859.30 and 77,764.05 is: 116,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,038.23 : 326,859.30 = 77,764.05 : x
  2. Step 2: Convert to fraction form
    218,038.23/326,859.30 = 77,764.05/x
  3. Step 3: Cross multiply
    218,038.23x = 326,859.30 × 77,764.05
  4. Step 4: Simplify right side
    218,038.23x = 25,417,902,948.17
  5. Step 5: Solve for x
    x = 25,417,902,948.17/218,038.23
  6. Step 6: Final answer
    x = 116,575.44

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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.