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Finding the Fourth Proportional to 119,353.98, 164,705.20 and 65,639

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Solution

The fourth proportional to 119,353.98, 164,705.20 and 65,639 is: 90,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,353.98 : 164,705.20 = 65,639 : x
  2. Step 2: Convert to fraction form
    119,353.98/164,705.20 = 65,639/x
  3. Step 3: Cross multiply
    119,353.98x = 164,705.20 × 65,639
  4. Step 4: Simplify right side
    119,353.98x = 10,811,084,622.80
  5. Step 5: Solve for x
    x = 10,811,084,622.80/119,353.98
  6. Step 6: Final answer
    x = 90,580.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.