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Finding the Fourth Proportional to 111,731.77, 154,189.83 and 61,430.77

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Solution

The fourth proportional to 111,731.77, 154,189.83 and 61,430.77 is: 84,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,731.77 : 154,189.83 = 61,430.77 : x
  2. Step 2: Convert to fraction form
    111,731.77/154,189.83 = 61,430.77/x
  3. Step 3: Cross multiply
    111,731.77x = 154,189.83 × 61,430.77
  4. Step 4: Simplify right side
    111,731.77x = 9,472,000,406.17
  5. Step 5: Solve for x
    x = 9,472,000,406.17/111,731.77
  6. Step 6: Final answer
    x = 84,774.46

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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.