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Finding the Fourth Proportional to 133,897.48, 184,778.52 and 76,538

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Solution

The fourth proportional to 133,897.48, 184,778.52 and 76,538 is: 105,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,897.48 : 184,778.52 = 76,538 : x
  2. Step 2: Convert to fraction form
    133,897.48/184,778.52 = 76,538/x
  3. Step 3: Cross multiply
    133,897.48x = 184,778.52 × 76,538
  4. Step 4: Simplify right side
    133,897.48x = 14,142,578,363.76
  5. Step 5: Solve for x
    x = 14,142,578,363.76/133,897.48
  6. Step 6: Final answer
    x = 105,622.44

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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.