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Finding the Fourth Proportional to 98,143.80, 147,215.75 and 31,583.93

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Solution

The fourth proportional to 98,143.80, 147,215.75 and 31,583.93 is: 47,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.80 : 147,215.75 = 31,583.93 : x
  2. Step 2: Convert to fraction form
    98,143.80/147,215.75 = 31,583.93/x
  3. Step 3: Cross multiply
    98,143.80x = 147,215.75 × 31,583.93
  4. Step 4: Simplify right side
    98,143.80x = 4,649,651,315.39
  5. Step 5: Solve for x
    x = 4,649,651,315.39/98,143.80
  6. Step 6: Final answer
    x = 47,375.90

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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.