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Finding the Fourth Proportional to 213,591.86, 294,482.88 and 136,971.66

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Solution

The fourth proportional to 213,591.86, 294,482.88 and 136,971.66 is: 188,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,591.86 : 294,482.88 = 136,971.66 : x
  2. Step 2: Convert to fraction form
    213,591.86/294,482.88 = 136,971.66/x
  3. Step 3: Cross multiply
    213,591.86x = 294,482.88 × 136,971.66
  4. Step 4: Simplify right side
    213,591.86x = 40,335,808,915.18
  5. Step 5: Solve for x
    x = 40,335,808,915.18/213,591.86
  6. Step 6: Final answer
    x = 188,845.26

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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.