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Finding the Fourth Proportional to 81,054.10, 121,471.80 and 57,653.20

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Solution

The fourth proportional to 81,054.10, 121,471.80 and 57,653.20 is: 86,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.10 : 121,471.80 = 57,653.20 : x
  2. Step 2: Convert to fraction form
    81,054.10/121,471.80 = 57,653.20/x
  3. Step 3: Cross multiply
    81,054.10x = 121,471.80 × 57,653.20
  4. Step 4: Simplify right side
    81,054.10x = 7,003,237,979.76
  5. Step 5: Solve for x
    x = 7,003,237,979.76/81,054.10
  6. Step 6: Final answer
    x = 86,402.02

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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.