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Finding the Fourth Proportional to 154,967.91, 213,828.71 and 86,987.76

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Solution

The fourth proportional to 154,967.91, 213,828.71 and 86,987.76 is: 120,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,967.91 : 213,828.71 = 86,987.76 : x
  2. Step 2: Convert to fraction form
    154,967.91/213,828.71 = 86,987.76/x
  3. Step 3: Cross multiply
    154,967.91x = 213,828.71 × 86,987.76
  4. Step 4: Simplify right side
    154,967.91x = 18,600,480,071.65
  5. Step 5: Solve for x
    x = 18,600,480,071.65/154,967.91
  6. Step 6: Final answer
    x = 120,027.95

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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.