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Finding the Fourth Proportional to 138,465.47, 191,127.77 and 84,020.11

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Solution

The fourth proportional to 138,465.47, 191,127.77 and 84,020.11 is: 115,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465.47 : 191,127.77 = 84,020.11 : x
  2. Step 2: Convert to fraction form
    138,465.47/191,127.77 = 84,020.11/x
  3. Step 3: Cross multiply
    138,465.47x = 191,127.77 × 84,020.11
  4. Step 4: Simplify right side
    138,465.47x = 16,058,575,991.69
  5. Step 5: Solve for x
    x = 16,058,575,991.69/138,465.47
  6. Step 6: Final answer
    x = 115,975.31

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1.5x scale

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.