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Finding the Fourth Proportional to 113,900.78, 170,851.80 and 74,706.14

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Solution

The fourth proportional to 113,900.78, 170,851.80 and 74,706.14 is: 112,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,900.78 : 170,851.80 = 74,706.14 : x
  2. Step 2: Convert to fraction form
    113,900.78/170,851.80 = 74,706.14/x
  3. Step 3: Cross multiply
    113,900.78x = 170,851.80 × 74,706.14
  4. Step 4: Simplify right side
    113,900.78x = 12,763,678,490.05
  5. Step 5: Solve for x
    x = 12,763,678,490.05/113,900.78
  6. Step 6: Final answer
    x = 112,059.62

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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.