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Finding the Fourth Proportional to 208,525.81, 288,004.77 and 137,224.14

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Solution

The fourth proportional to 208,525.81, 288,004.77 and 137,224.14 is: 189,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,525.81 : 288,004.77 = 137,224.14 : x
  2. Step 2: Convert to fraction form
    208,525.81/288,004.77 = 137,224.14/x
  3. Step 3: Cross multiply
    208,525.81x = 288,004.77 × 137,224.14
  4. Step 4: Simplify right side
    208,525.81x = 39,521,207,084.57
  5. Step 5: Solve for x
    x = 39,521,207,084.57/208,525.81
  6. Step 6: Final answer
    x = 189,526.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.