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Finding the Fourth Proportional to 158,705.19, 219,005.64 and 87,083.64

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Solution

The fourth proportional to 158,705.19, 219,005.64 and 87,083.64 is: 120,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,705.19 : 219,005.64 = 87,083.64 : x
  2. Step 2: Convert to fraction form
    158,705.19/219,005.64 = 87,083.64/x
  3. Step 3: Cross multiply
    158,705.19x = 219,005.64 × 87,083.64
  4. Step 4: Simplify right side
    158,705.19x = 19,071,808,311.73
  5. Step 5: Solve for x
    x = 19,071,808,311.73/158,705.19
  6. Step 6: Final answer
    x = 120,171.30

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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.