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Finding the Fourth Proportional to 98,243.42, 147,393.88 and 31,682.20

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Solution

The fourth proportional to 98,243.42, 147,393.88 and 31,682.20 is: 47,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,243.42 : 147,393.88 = 31,682.20 : x
  2. Step 2: Convert to fraction form
    98,243.42/147,393.88 = 31,682.20/x
  3. Step 3: Cross multiply
    98,243.42x = 147,393.88 × 31,682.20
  4. Step 4: Simplify right side
    98,243.42x = 4,669,762,384.94
  5. Step 5: Solve for x
    x = 4,669,762,384.94/98,243.42
  6. Step 6: Final answer
    x = 47,532.57

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1.5x scale

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.