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Finding the Fourth Proportional to 229,692.72, 316,939.32 and 139,033.20

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Solution

The fourth proportional to 229,692.72, 316,939.32 and 139,033.20 is: 191,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,692.72 : 316,939.32 = 139,033.20 : x
  2. Step 2: Convert to fraction form
    229,692.72/316,939.32 = 139,033.20/x
  3. Step 3: Cross multiply
    229,692.72x = 316,939.32 × 139,033.20
  4. Step 4: Simplify right side
    229,692.72x = 44,065,087,865.42
  5. Step 5: Solve for x
    x = 44,065,087,865.42/229,692.72
  6. Step 6: Final answer
    x = 191,843.64

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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.