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Finding the Fourth Proportional to 219,978, 329,973.15 and 77,803.17

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Solution

The fourth proportional to 219,978, 329,973.15 and 77,803.17 is: 116,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978 : 329,973.15 = 77,803.17 : x
  2. Step 2: Convert to fraction form
    219,978/329,973.15 = 77,803.17/x
  3. Step 3: Cross multiply
    219,978x = 329,973.15 × 77,803.17
  4. Step 4: Simplify right side
    219,978x = 25,672,957,084.89
  5. Step 5: Solve for x
    x = 25,672,957,084.89/219,978
  6. Step 6: Final answer
    x = 116,706.93

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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.