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Finding the Fourth Proportional to 113,201.80, 169,802.70 and 102,704.20

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Solution

The fourth proportional to 113,201.80, 169,802.70 and 102,704.20 is: 154,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,201.80 : 169,802.70 = 102,704.20 : x
  2. Step 2: Convert to fraction form
    113,201.80/169,802.70 = 102,704.20/x
  3. Step 3: Cross multiply
    113,201.80x = 169,802.70 × 102,704.20
  4. Step 4: Simplify right side
    113,201.80x = 17,439,450,461.34
  5. Step 5: Solve for x
    x = 17,439,450,461.34/113,201.80
  6. Step 6: Final answer
    x = 154,056.30

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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.