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Finding the Fourth Proportional to 131,378, 181,302.36 and 71,762

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Solution

The fourth proportional to 131,378, 181,302.36 and 71,762 is: 99,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,378 : 181,302.36 = 71,762 : x
  2. Step 2: Convert to fraction form
    131,378/181,302.36 = 71,762/x
  3. Step 3: Cross multiply
    131,378x = 181,302.36 × 71,762
  4. Step 4: Simplify right side
    131,378x = 13,010,619,958.32
  5. Step 5: Solve for x
    x = 13,010,619,958.32/131,378
  6. Step 6: Final answer
    x = 99,031.95

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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.