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Finding the Fourth Proportional to 138,384.46, 190,966.03 and 87,424.32

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Solution

The fourth proportional to 138,384.46, 190,966.03 and 87,424.32 is: 120,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384.46 : 190,966.03 = 87,424.32 : x
  2. Step 2: Convert to fraction form
    138,384.46/190,966.03 = 87,424.32/x
  3. Step 3: Cross multiply
    138,384.46x = 190,966.03 × 87,424.32
  4. Step 4: Simplify right side
    138,384.46x = 16,695,075,315.85
  5. Step 5: Solve for x
    x = 16,695,075,315.85/138,384.46
  6. Step 6: Final answer
    x = 120,642.70

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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.