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Finding the Fourth Proportional to 78,772.78, 118,158.56 and 19,608.06

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Solution

The fourth proportional to 78,772.78, 118,158.56 and 19,608.06 is: 29,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.78 : 118,158.56 = 19,608.06 : x
  2. Step 2: Convert to fraction form
    78,772.78/118,158.56 = 19,608.06/x
  3. Step 3: Cross multiply
    78,772.78x = 118,158.56 × 19,608.06
  4. Step 4: Simplify right side
    78,772.78x = 2,316,860,133.99
  5. Step 5: Solve for x
    x = 2,316,860,133.99/78,772.78
  6. Step 6: Final answer
    x = 29,411.94

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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.