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Finding the Fourth Proportional to 213,577.29, 320,332.32 and 71,421.48

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Solution

The fourth proportional to 213,577.29, 320,332.32 and 71,421.48 is: 107,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,577.29 : 320,332.32 = 71,421.48 : x
  2. Step 2: Convert to fraction form
    213,577.29/320,332.32 = 71,421.48/x
  3. Step 3: Cross multiply
    213,577.29x = 320,332.32 × 71,421.48
  4. Step 4: Simplify right side
    213,577.29x = 22,878,608,386.23
  5. Step 5: Solve for x
    x = 22,878,608,386.23/213,577.29
  6. Step 6: Final answer
    x = 107,120.98

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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.