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Finding the Fourth Proportional to 119,354.62, 164,706.09 and 65,639.64

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Solution

The fourth proportional to 119,354.62, 164,706.09 and 65,639.64 is: 90,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,354.62 : 164,706.09 = 65,639.64 : x
  2. Step 2: Convert to fraction form
    119,354.62/164,706.09 = 65,639.64/x
  3. Step 3: Cross multiply
    119,354.62x = 164,706.09 × 65,639.64
  4. Step 4: Simplify right side
    119,354.62x = 10,811,248,041.64
  5. Step 5: Solve for x
    x = 10,811,248,041.64/119,354.62
  6. Step 6: Final answer
    x = 90,580.89

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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.