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Finding the Fourth Proportional to 133,818.52, 184,678.50 and 77,228.68

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Solution

The fourth proportional to 133,818.52, 184,678.50 and 77,228.68 is: 106,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818.52 : 184,678.50 = 77,228.68 : x
  2. Step 2: Convert to fraction form
    133,818.52/184,678.50 = 77,228.68/x
  3. Step 3: Cross multiply
    133,818.52x = 184,678.50 × 77,228.68
  4. Step 4: Simplify right side
    133,818.52x = 14,262,476,779.38
  5. Step 5: Solve for x
    x = 14,262,476,779.38/133,818.52
  6. Step 6: Final answer
    x = 106,580.74

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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.