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Finding the Fourth Proportional to 253,580.95, 380,408.51 and 76,101.98

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Solution

The fourth proportional to 253,580.95, 380,408.51 and 76,101.98 is: 114,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,580.95 : 380,408.51 = 76,101.98 : x
  2. Step 2: Convert to fraction form
    253,580.95/380,408.51 = 76,101.98/x
  3. Step 3: Cross multiply
    253,580.95x = 380,408.51 × 76,101.98
  4. Step 4: Simplify right side
    253,580.95x = 28,949,841,961.13
  5. Step 5: Solve for x
    x = 28,949,841,961.13/253,580.95
  6. Step 6: Final answer
    x = 114,164.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.