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Finding the Fourth Proportional to 100,987.64, 139,340.49 and 57,964.50

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Solution

The fourth proportional to 100,987.64, 139,340.49 and 57,964.50 is: 79,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,987.64 : 139,340.49 = 57,964.50 : x
  2. Step 2: Convert to fraction form
    100,987.64/139,340.49 = 57,964.50/x
  3. Step 3: Cross multiply
    100,987.64x = 139,340.49 × 57,964.50
  4. Step 4: Simplify right side
    100,987.64x = 8,076,801,832.61
  5. Step 5: Solve for x
    x = 8,076,801,832.61/100,987.64
  6. Step 6: Final answer
    x = 79,978.12

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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.