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Finding the Fourth Proportional to 188,231.50, 282,347.25 and 47,990.13

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Solution

The fourth proportional to 188,231.50, 282,347.25 and 47,990.13 is: 71,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,231.50 : 282,347.25 = 47,990.13 : x
  2. Step 2: Convert to fraction form
    188,231.50/282,347.25 = 47,990.13/x
  3. Step 3: Cross multiply
    188,231.50x = 282,347.25 × 47,990.13
  4. Step 4: Simplify right side
    188,231.50x = 13,549,880,512.96
  5. Step 5: Solve for x
    x = 13,549,880,512.96/188,231.50
  6. Step 6: Final answer
    x = 71,985.19

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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.