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Finding the Fourth Proportional to 98,475.79, 147,682.71 and 31,900.48

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Solution

The fourth proportional to 98,475.79, 147,682.71 and 31,900.48 is: 47,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,475.79 : 147,682.71 = 31,900.48 : x
  2. Step 2: Convert to fraction form
    98,475.79/147,682.71 = 31,900.48/x
  3. Step 3: Cross multiply
    98,475.79x = 147,682.71 × 31,900.48
  4. Step 4: Simplify right side
    98,475.79x = 4,711,148,438.78
  5. Step 5: Solve for x
    x = 4,711,148,438.78/98,475.79
  6. Step 6: Final answer
    x = 47,840.68

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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.