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Finding the Fourth Proportional to 78,076.76, 117,097.62 and 35,916.35

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Solution

The fourth proportional to 78,076.76, 117,097.62 and 35,916.35 is: 53,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.76 : 117,097.62 = 35,916.35 : x
  2. Step 2: Convert to fraction form
    78,076.76/117,097.62 = 35,916.35/x
  3. Step 3: Cross multiply
    78,076.76x = 117,097.62 × 35,916.35
  4. Step 4: Simplify right side
    78,076.76x = 4,205,718,518.60
  5. Step 5: Solve for x
    x = 4,205,718,518.60/78,076.76
  6. Step 6: Final answer
    x = 53,866.46

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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.