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Finding the Fourth Proportional to 213,636.64, 320,356.29 and 78,666.81

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Solution

The fourth proportional to 213,636.64, 320,356.29 and 78,666.81 is: 117,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,636.64 : 320,356.29 = 78,666.81 : x
  2. Step 2: Convert to fraction form
    213,636.64/320,356.29 = 78,666.81/x
  3. Step 3: Cross multiply
    213,636.64x = 320,356.29 × 78,666.81
  4. Step 4: Simplify right side
    213,636.64x = 25,201,407,397.73
  5. Step 5: Solve for x
    x = 25,201,407,397.73/213,636.64
  6. Step 6: Final answer
    x = 117,963.88

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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.