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Finding the Fourth Proportional to 154,563.76, 231,688.78 and 87,866.06

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Solution

The fourth proportional to 154,563.76, 231,688.78 and 87,866.06 is: 131,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,563.76 : 231,688.78 = 87,866.06 : x
  2. Step 2: Convert to fraction form
    154,563.76/231,688.78 = 87,866.06/x
  3. Step 3: Cross multiply
    154,563.76x = 231,688.78 × 87,866.06
  4. Step 4: Simplify right side
    154,563.76x = 20,357,580,244.81
  5. Step 5: Solve for x
    x = 20,357,580,244.81/154,563.76
  6. Step 6: Final answer
    x = 131,709.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.