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Finding the Fourth Proportional to 57,886.92, 86,828.76 and 18,446.40

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Solution

The fourth proportional to 57,886.92, 86,828.76 and 18,446.40 is: 27,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886.92 : 86,828.76 = 18,446.40 : x
  2. Step 2: Convert to fraction form
    57,886.92/86,828.76 = 18,446.40/x
  3. Step 3: Cross multiply
    57,886.92x = 86,828.76 × 18,446.40
  4. Step 4: Simplify right side
    57,886.92x = 1,601,678,038.46
  5. Step 5: Solve for x
    x = 1,601,678,038.46/57,886.92
  6. Step 6: Final answer
    x = 27,669.08

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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.