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Finding the Fourth Proportional to 57,116, 85,572.24 and 48,710.74

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Solution

The fourth proportional to 57,116, 85,572.24 and 48,710.74 is: 72,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116 : 85,572.24 = 48,710.74 : x
  2. Step 2: Convert to fraction form
    57,116/85,572.24 = 48,710.74/x
  3. Step 3: Cross multiply
    57,116x = 85,572.24 × 48,710.74
  4. Step 4: Simplify right side
    57,116x = 4,168,287,133.86
  5. Step 5: Solve for x
    x = 4,168,287,133.86/57,116
  6. Step 6: Final answer
    x = 72,979.33

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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.