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Finding the Fourth Proportional to 213,443.90, 320,130.77 and 76,638.68

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Solution

The fourth proportional to 213,443.90, 320,130.77 and 76,638.68 is: 114,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,443.90 : 320,130.77 = 76,638.68 : x
  2. Step 2: Convert to fraction form
    213,443.90/320,130.77 = 76,638.68/x
  3. Step 3: Cross multiply
    213,443.90x = 320,130.77 × 76,638.68
  4. Step 4: Simplify right side
    213,443.90x = 24,534,400,632.11
  5. Step 5: Solve for x
    x = 24,534,400,632.11/213,443.90
  6. Step 6: Final answer
    x = 114,945.43

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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.