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Finding the Fourth Proportional to 98,299.28, 147,477.72 and 31,738.16

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Solution

The fourth proportional to 98,299.28, 147,477.72 and 31,738.16 is: 47,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,299.28 : 147,477.72 = 31,738.16 : x
  2. Step 2: Convert to fraction form
    98,299.28/147,477.72 = 31,738.16/x
  3. Step 3: Cross multiply
    98,299.28x = 147,477.72 × 31,738.16
  4. Step 4: Simplify right side
    98,299.28x = 4,680,671,473.80
  5. Step 5: Solve for x
    x = 4,680,671,473.80/98,299.28
  6. Step 6: Final answer
    x = 47,616.54

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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.