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Finding the Fourth Proportional to 122,077.72, 183,184.62 and 65,916.64

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Solution

The fourth proportional to 122,077.72, 183,184.62 and 65,916.64 is: 98,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,077.72 : 183,184.62 = 65,916.64 : x
  2. Step 2: Convert to fraction form
    122,077.72/183,184.62 = 65,916.64/x
  3. Step 3: Cross multiply
    122,077.72x = 183,184.62 × 65,916.64
  4. Step 4: Simplify right side
    122,077.72x = 12,074,914,650.08
  5. Step 5: Solve for x
    x = 12,074,914,650.08/122,077.72
  6. Step 6: Final answer
    x = 98,911.70

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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.