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Finding the Fourth Proportional to 98,529.72, 147,801.88 and 31,980.54

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Solution

The fourth proportional to 98,529.72, 147,801.88 and 31,980.54 is: 47,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529.72 : 147,801.88 = 31,980.54 : x
  2. Step 2: Convert to fraction form
    98,529.72/147,801.88 = 31,980.54/x
  3. Step 3: Cross multiply
    98,529.72x = 147,801.88 × 31,980.54
  4. Step 4: Simplify right side
    98,529.72x = 4,726,783,935.42
  5. Step 5: Solve for x
    x = 4,726,783,935.42/98,529.72
  6. Step 6: Final answer
    x = 47,973.18

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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.