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Finding the Fourth Proportional to 98,787.56, 148,214.64 and 31,330.64

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Solution

The fourth proportional to 98,787.56, 148,214.64 and 31,330.64 is: 47,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,787.56 : 148,214.64 = 31,330.64 : x
  2. Step 2: Convert to fraction form
    98,787.56/148,214.64 = 31,330.64/x
  3. Step 3: Cross multiply
    98,787.56x = 148,214.64 × 31,330.64
  4. Step 4: Simplify right side
    98,787.56x = 4,643,659,528.57
  5. Step 5: Solve for x
    x = 4,643,659,528.57/98,787.56
  6. Step 6: Final answer
    x = 47,006.52

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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.