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Finding the Fourth Proportional to 119,355.19, 164,706.86 and 65,640.20

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Solution

The fourth proportional to 119,355.19, 164,706.86 and 65,640.20 is: 90,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,355.19 : 164,706.86 = 65,640.20 : x
  2. Step 2: Convert to fraction form
    119,355.19/164,706.86 = 65,640.20/x
  3. Step 3: Cross multiply
    119,355.19x = 164,706.86 × 65,640.20
  4. Step 4: Simplify right side
    119,355.19x = 10,811,391,231.77
  5. Step 5: Solve for x
    x = 10,811,391,231.77/119,355.19
  6. Step 6: Final answer
    x = 90,581.66

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1.5x scale

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.