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Finding the Fourth Proportional to 188,212.88, 282,070.16 and 138,058.16

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Solution

The fourth proportional to 188,212.88, 282,070.16 and 138,058.16 is: 206,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,212.88 : 282,070.16 = 138,058.16 : x
  2. Step 2: Convert to fraction form
    188,212.88/282,070.16 = 138,058.16/x
  3. Step 3: Cross multiply
    188,212.88x = 282,070.16 × 138,058.16
  4. Step 4: Simplify right side
    188,212.88x = 38,942,087,280.51
  5. Step 5: Solve for x
    x = 38,942,087,280.51/188,212.88
  6. Step 6: Final answer
    x = 206,904.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.