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Finding the Fourth Proportional to 213,710.86, 320,472.78 and 101,423.26

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Solution

The fourth proportional to 213,710.86, 320,472.78 and 101,423.26 is: 152,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.86 : 320,472.78 = 101,423.26 : x
  2. Step 2: Convert to fraction form
    213,710.86/320,472.78 = 101,423.26/x
  3. Step 3: Cross multiply
    213,710.86x = 320,472.78 × 101,423.26
  4. Step 4: Simplify right side
    213,710.86x = 32,503,394,088.86
  5. Step 5: Solve for x
    x = 32,503,394,088.86/213,710.86
  6. Step 6: Final answer
    x = 152,090.51

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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.