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Finding the Fourth Proportional to 158,874.12, 219,264.48 and 87,260.40

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Solution

The fourth proportional to 158,874.12, 219,264.48 and 87,260.40 is: 120,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,874.12 : 219,264.48 = 87,260.40 : x
  2. Step 2: Convert to fraction form
    158,874.12/219,264.48 = 87,260.40/x
  3. Step 3: Cross multiply
    158,874.12x = 219,264.48 × 87,260.40
  4. Step 4: Simplify right side
    158,874.12x = 19,133,106,230.59
  5. Step 5: Solve for x
    x = 19,133,106,230.59/158,874.12
  6. Step 6: Final answer
    x = 120,429.35

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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.