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Finding the Fourth Proportional to 138,232.40, 190,713.16 and 83,802.12

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Solution

The fourth proportional to 138,232.40, 190,713.16 and 83,802.12 is: 115,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,232.40 : 190,713.16 = 83,802.12 : x
  2. Step 2: Convert to fraction form
    138,232.40/190,713.16 = 83,802.12/x
  3. Step 3: Cross multiply
    138,232.40x = 190,713.16 × 83,802.12
  4. Step 4: Simplify right side
    138,232.40x = 15,982,167,119.90
  5. Step 5: Solve for x
    x = 15,982,167,119.90/138,232.40
  6. Step 6: Final answer
    x = 115,618.10

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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.