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Finding the Fourth Proportional to 154,710, 213,499.80 and 87,642

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Solution

The fourth proportional to 154,710, 213,499.80 and 87,642 is: 120,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,710 : 213,499.80 = 87,642 : x
  2. Step 2: Convert to fraction form
    154,710/213,499.80 = 87,642/x
  3. Step 3: Cross multiply
    154,710x = 213,499.80 × 87,642
  4. Step 4: Simplify right side
    154,710x = 18,711,549,471.60
  5. Step 5: Solve for x
    x = 18,711,549,471.60/154,710
  6. Step 6: Final answer
    x = 120,945.96

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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.