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Finding the Fourth Proportional to 111,460.96, 153,820.56 and 61,161.76

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Solution

The fourth proportional to 111,460.96, 153,820.56 and 61,161.76 is: 84,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,460.96 : 153,820.56 = 61,161.76 : x
  2. Step 2: Convert to fraction form
    111,460.96/153,820.56 = 61,161.76/x
  3. Step 3: Cross multiply
    111,460.96x = 153,820.56 × 61,161.76
  4. Step 4: Simplify right side
    111,460.96x = 9,407,936,173.79
  5. Step 5: Solve for x
    x = 9,407,936,173.79/111,460.96
  6. Step 6: Final answer
    x = 84,405.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.