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Finding the Fourth Proportional to 57,007, 78,669.66 and 31,856.50

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Solution

The fourth proportional to 57,007, 78,669.66 and 31,856.50 is: 43,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007 : 78,669.66 = 31,856.50 : x
  2. Step 2: Convert to fraction form
    57,007/78,669.66 = 31,856.50/x
  3. Step 3: Cross multiply
    57,007x = 78,669.66 × 31,856.50
  4. Step 4: Simplify right side
    57,007x = 2,506,140,023.79
  5. Step 5: Solve for x
    x = 2,506,140,023.79/57,007
  6. Step 6: Final answer
    x = 43,961.97

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1.5x scale

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.