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Finding the Fourth Proportional to 98,186, 147,275.76 and 31,629.92

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Solution

The fourth proportional to 98,186, 147,275.76 and 31,629.92 is: 47,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186 : 147,275.76 = 31,629.92 : x
  2. Step 2: Convert to fraction form
    98,186/147,275.76 = 31,629.92/x
  3. Step 3: Cross multiply
    98,186x = 147,275.76 × 31,629.92
  4. Step 4: Simplify right side
    98,186x = 4,658,320,506.74
  5. Step 5: Solve for x
    x = 4,658,320,506.74/98,186
  6. Step 6: Final answer
    x = 47,443.84

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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.