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Finding the Fourth Proportional to 100,848.32, 139,208.74 and 79,281.80

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Solution

The fourth proportional to 100,848.32, 139,208.74 and 79,281.80 is: 109,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,848.32 : 139,208.74 = 79,281.80 : x
  2. Step 2: Convert to fraction form
    100,848.32/139,208.74 = 79,281.80/x
  3. Step 3: Cross multiply
    100,848.32x = 139,208.74 × 79,281.80
  4. Step 4: Simplify right side
    100,848.32x = 11,036,718,786.89
  5. Step 5: Solve for x
    x = 11,036,718,786.89/100,848.32
  6. Step 6: Final answer
    x = 109,438.80

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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.