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Finding the Fourth Proportional to 122,699.47, 184,051.52 and 38,457.78

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Solution

The fourth proportional to 122,699.47, 184,051.52 and 38,457.78 is: 57,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,699.47 : 184,051.52 = 38,457.78 : x
  2. Step 2: Convert to fraction form
    122,699.47/184,051.52 = 38,457.78/x
  3. Step 3: Cross multiply
    122,699.47x = 184,051.52 × 38,457.78
  4. Step 4: Simplify right side
    122,699.47x = 7,078,212,672.54
  5. Step 5: Solve for x
    x = 7,078,212,672.54/122,699.47
  6. Step 6: Final answer
    x = 57,687.39

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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.