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Finding the Fourth Proportional to 213,405.84, 294,493.32 and 117,910.08

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Solution

The fourth proportional to 213,405.84, 294,493.32 and 117,910.08 is: 162,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,405.84 : 294,493.32 = 117,910.08 : x
  2. Step 2: Convert to fraction form
    213,405.84/294,493.32 = 117,910.08/x
  3. Step 3: Cross multiply
    213,405.84x = 294,493.32 × 117,910.08
  4. Step 4: Simplify right side
    213,405.84x = 34,723,730,920.67
  5. Step 5: Solve for x
    x = 34,723,730,920.67/213,405.84
  6. Step 6: Final answer
    x = 162,712.19

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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.