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Finding the Fourth Proportional to 122,777.10, 184,165.65 and 83,411.10

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Solution

The fourth proportional to 122,777.10, 184,165.65 and 83,411.10 is: 125,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,777.10 : 184,165.65 = 83,411.10 : x
  2. Step 2: Convert to fraction form
    122,777.10/184,165.65 = 83,411.10/x
  3. Step 3: Cross multiply
    122,777.10x = 184,165.65 × 83,411.10
  4. Step 4: Simplify right side
    122,777.10x = 15,361,459,448.72
  5. Step 5: Solve for x
    x = 15,361,459,448.72/122,777.10
  6. Step 6: Final answer
    x = 125,116.65

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