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Finding the Fourth Proportional to 213,909.66, 295,334.59 and 137,458.21

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Solution

The fourth proportional to 213,909.66, 295,334.59 and 137,458.21 is: 189,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.66 : 295,334.59 = 137,458.21 : x
  2. Step 2: Convert to fraction form
    213,909.66/295,334.59 = 137,458.21/x
  3. Step 3: Cross multiply
    213,909.66x = 295,334.59 × 137,458.21
  4. Step 4: Simplify right side
    213,909.66x = 40,596,164,092.48
  5. Step 5: Solve for x
    x = 40,596,164,092.48/213,909.66
  6. Step 6: Final answer
    x = 189,781.82

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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.