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Finding the Fourth Proportional to 144,866.16, 199,935.80 and 80,349.66

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Solution

The fourth proportional to 144,866.16, 199,935.80 and 80,349.66 is: 110,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,866.16 : 199,935.80 = 80,349.66 : x
  2. Step 2: Convert to fraction form
    144,866.16/199,935.80 = 80,349.66/x
  3. Step 3: Cross multiply
    144,866.16x = 199,935.80 × 80,349.66
  4. Step 4: Simplify right side
    144,866.16x = 16,064,773,150.08
  5. Step 5: Solve for x
    x = 16,064,773,150.08/144,866.16
  6. Step 6: Final answer
    x = 110,893.90

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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.