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Finding the Fourth Proportional to 251,951.58, 347,692.23 and 138,775.14

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Solution

The fourth proportional to 251,951.58, 347,692.23 and 138,775.14 is: 191,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,951.58 : 347,692.23 = 138,775.14 : x
  2. Step 2: Convert to fraction form
    251,951.58/347,692.23 = 138,775.14/x
  3. Step 3: Cross multiply
    251,951.58x = 347,692.23 × 138,775.14
  4. Step 4: Simplify right side
    251,951.58x = 48,251,037,895.16
  5. Step 5: Solve for x
    x = 48,251,037,895.16/251,951.58
  6. Step 6: Final answer
    x = 191,509.17

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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.