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Finding the Fourth Proportional to 161,746.40, 242,626.80 and 55,128.80

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Solution

The fourth proportional to 161,746.40, 242,626.80 and 55,128.80 is: 82,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,746.40 : 242,626.80 = 55,128.80 : x
  2. Step 2: Convert to fraction form
    161,746.40/242,626.80 = 55,128.80/x
  3. Step 3: Cross multiply
    161,746.40x = 242,626.80 × 55,128.80
  4. Step 4: Simplify right side
    161,746.40x = 13,375,724,331.84
  5. Step 5: Solve for x
    x = 13,375,724,331.84/161,746.40
  6. Step 6: Final answer
    x = 82,695.65

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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.