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Finding the Fourth Proportional to 158,493.10, 218,742.88 and 98,083.20

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Solution

The fourth proportional to 158,493.10, 218,742.88 and 98,083.20 is: 135,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,493.10 : 218,742.88 = 98,083.20 : x
  2. Step 2: Convert to fraction form
    158,493.10/218,742.88 = 98,083.20/x
  3. Step 3: Cross multiply
    158,493.10x = 218,742.88 × 98,083.20
  4. Step 4: Simplify right side
    158,493.10x = 21,455,001,647.62
  5. Step 5: Solve for x
    x = 21,455,001,647.62/158,493.10
  6. Step 6: Final answer
    x = 135,368.68

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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.