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Finding the Fourth Proportional to 104,875.64, 144,727.66 and 57,129

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Solution

The fourth proportional to 104,875.64, 144,727.66 and 57,129 is: 78,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,875.64 : 144,727.66 = 57,129 : x
  2. Step 2: Convert to fraction form
    104,875.64/144,727.66 = 57,129/x
  3. Step 3: Cross multiply
    104,875.64x = 144,727.66 × 57,129
  4. Step 4: Simplify right side
    104,875.64x = 8,268,146,488.14
  5. Step 5: Solve for x
    x = 8,268,146,488.14/104,875.64
  6. Step 6: Final answer
    x = 78,837.63

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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.