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Finding the Fourth Proportional to 119,429.46, 164,808.54 and 65,709.45

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Solution

The fourth proportional to 119,429.46, 164,808.54 and 65,709.45 is: 90,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,429.46 : 164,808.54 = 65,709.45 : x
  2. Step 2: Convert to fraction form
    119,429.46/164,808.54 = 65,709.45/x
  3. Step 3: Cross multiply
    119,429.46x = 164,808.54 × 65,709.45
  4. Step 4: Simplify right side
    119,429.46x = 10,829,478,518.70
  5. Step 5: Solve for x
    x = 10,829,478,518.70/119,429.46
  6. Step 6: Final answer
    x = 90,676.78

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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.