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Finding the Fourth Proportional to 213,392.24, 320,088.12 and 65,648.24

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Solution

The fourth proportional to 213,392.24, 320,088.12 and 65,648.24 is: 98,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,392.24 : 320,088.12 = 65,648.24 : x
  2. Step 2: Convert to fraction form
    213,392.24/320,088.12 = 65,648.24/x
  3. Step 3: Cross multiply
    213,392.24x = 320,088.12 × 65,648.24
  4. Step 4: Simplify right side
    213,392.24x = 21,013,221,722.91
  5. Step 5: Solve for x
    x = 21,013,221,722.91/213,392.24
  6. Step 6: Final answer
    x = 98,472.29

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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.