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Finding the Fourth Proportional to 138,460, 191,075.60 and 81,133.16

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Solution

The fourth proportional to 138,460, 191,075.60 and 81,133.16 is: 111,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,460 : 191,075.60 = 81,133.16 : x
  2. Step 2: Convert to fraction form
    138,460/191,075.60 = 81,133.16/x
  3. Step 3: Cross multiply
    138,460x = 191,075.60 × 81,133.16
  4. Step 4: Simplify right side
    138,460x = 15,502,567,226.90
  5. Step 5: Solve for x
    x = 15,502,567,226.90/138,460
  6. Step 6: Final answer
    x = 111,964.23

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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.