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Finding the Fourth Proportional to 161,830.80, 243,005.40 and 122,432.40

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Solution

The fourth proportional to 161,830.80, 243,005.40 and 122,432.40 is: 183,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,830.80 : 243,005.40 = 122,432.40 : x
  2. Step 2: Convert to fraction form
    161,830.80/243,005.40 = 122,432.40/x
  3. Step 3: Cross multiply
    161,830.80x = 243,005.40 × 122,432.40
  4. Step 4: Simplify right side
    161,830.80x = 29,751,734,334.96
  5. Step 5: Solve for x
    x = 29,751,734,334.96/161,830.80
  6. Step 6: Final answer
    x = 183,844.70

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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.