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Finding the Fourth Proportional to 188,643.84, 260,365.47 and 108,125.34

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Solution

The fourth proportional to 188,643.84, 260,365.47 and 108,125.34 is: 149,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643.84 : 260,365.47 = 108,125.34 : x
  2. Step 2: Convert to fraction form
    188,643.84/260,365.47 = 108,125.34/x
  3. Step 3: Cross multiply
    188,643.84x = 260,365.47 × 108,125.34
  4. Step 4: Simplify right side
    188,643.84x = 28,152,104,968.01
  5. Step 5: Solve for x
    x = 28,152,104,968.01/188,643.84
  6. Step 6: Final answer
    x = 149,234.16

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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.