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Finding the Fourth Proportional to 209,150.68, 288,482 and 137,507.80

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Solution

The fourth proportional to 209,150.68, 288,482 and 137,507.80 is: 189,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,150.68 : 288,482 = 137,507.80 : x
  2. Step 2: Convert to fraction form
    209,150.68/288,482 = 137,507.80/x
  3. Step 3: Cross multiply
    209,150.68x = 288,482 × 137,507.80
  4. Step 4: Simplify right side
    209,150.68x = 39,668,525,159.60
  5. Step 5: Solve for x
    x = 39,668,525,159.60/209,150.68
  6. Step 6: Final answer
    x = 189,664.82

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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.