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Finding the Fourth Proportional to 188,351.61, 259,928.02 and 102,312.27

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Solution

The fourth proportional to 188,351.61, 259,928.02 and 102,312.27 is: 141,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,351.61 : 259,928.02 = 102,312.27 : x
  2. Step 2: Convert to fraction form
    188,351.61/259,928.02 = 102,312.27/x
  3. Step 3: Cross multiply
    188,351.61x = 259,928.02 × 102,312.27
  4. Step 4: Simplify right side
    188,351.61x = 26,593,825,762.81
  5. Step 5: Solve for x
    x = 26,593,825,762.81/188,351.61
  6. Step 6: Final answer
    x = 141,192.45

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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.