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Finding the Fourth Proportional to 133,820.58, 184,655.31 and 76,463.61

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Solution

The fourth proportional to 133,820.58, 184,655.31 and 76,463.61 is: 105,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.58 : 184,655.31 = 76,463.61 : x
  2. Step 2: Convert to fraction form
    133,820.58/184,655.31 = 76,463.61/x
  3. Step 3: Cross multiply
    133,820.58x = 184,655.31 × 76,463.61
  4. Step 4: Simplify right side
    133,820.58x = 14,119,411,608.27
  5. Step 5: Solve for x
    x = 14,119,411,608.27/133,820.58
  6. Step 6: Final answer
    x = 105,510.02

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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.