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Finding the Fourth Proportional to 103,634.64, 143,007.93 and 61,184.97

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Solution

The fourth proportional to 103,634.64, 143,007.93 and 61,184.97 is: 84,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.64 : 143,007.93 = 61,184.97 : x
  2. Step 2: Convert to fraction form
    103,634.64/143,007.93 = 61,184.97/x
  3. Step 3: Cross multiply
    103,634.64x = 143,007.93 × 61,184.97
  4. Step 4: Simplify right side
    103,634.64x = 8,749,935,906.81
  5. Step 5: Solve for x
    x = 8,749,935,906.81/103,634.64
  6. Step 6: Final answer
    x = 84,430.61

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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.