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Finding the Fourth Proportional to 213,221.80, 319,746.30 and 72,908.20

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Solution

The fourth proportional to 213,221.80, 319,746.30 and 72,908.20 is: 109,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,221.80 : 319,746.30 = 72,908.20 : x
  2. Step 2: Convert to fraction form
    213,221.80/319,746.30 = 72,908.20/x
  3. Step 3: Cross multiply
    213,221.80x = 319,746.30 × 72,908.20
  4. Step 4: Simplify right side
    213,221.80x = 23,312,127,189.66
  5. Step 5: Solve for x
    x = 23,312,127,189.66/213,221.80
  6. Step 6: Final answer
    x = 109,332.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.