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Finding the Fourth Proportional to 220,039.78, 329,973.58 and 77,830.11

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Solution

The fourth proportional to 220,039.78, 329,973.58 and 77,830.11 is: 116,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,039.78 : 329,973.58 = 77,830.11 : x
  2. Step 2: Convert to fraction form
    220,039.78/329,973.58 = 77,830.11/x
  3. Step 3: Cross multiply
    220,039.78x = 329,973.58 × 77,830.11
  4. Step 4: Simplify right side
    220,039.78x = 25,681,880,028.49
  5. Step 5: Solve for x
    x = 25,681,880,028.49/220,039.78
  6. Step 6: Final answer
    x = 116,714.71

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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.