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Finding the Fourth Proportional to 78,204.64, 116,436.80 and 77,100.48

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Solution

The fourth proportional to 78,204.64, 116,436.80 and 77,100.48 is: 114,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204.64 : 116,436.80 = 77,100.48 : x
  2. Step 2: Convert to fraction form
    78,204.64/116,436.80 = 77,100.48/x
  3. Step 3: Cross multiply
    78,204.64x = 116,436.80 × 77,100.48
  4. Step 4: Simplify right side
    78,204.64x = 8,977,333,169.66
  5. Step 5: Solve for x
    x = 8,977,333,169.66/78,204.64
  6. Step 6: Final answer
    x = 114,792.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.