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Finding the Fourth Proportional to 220,129.04, 330,341.56 and 77,973.84

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Solution

The fourth proportional to 220,129.04, 330,341.56 and 77,973.84 is: 117,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,129.04 : 330,341.56 = 77,973.84 : x
  2. Step 2: Convert to fraction form
    220,129.04/330,341.56 = 77,973.84/x
  3. Step 3: Cross multiply
    220,129.04x = 330,341.56 × 77,973.84
  4. Step 4: Simplify right side
    220,129.04x = 25,757,999,749.86
  5. Step 5: Solve for x
    x = 25,757,999,749.86/220,129.04
  6. Step 6: Final answer
    x = 117,013.18

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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.