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Finding the Fourth Proportional to 57,009.56, 78,672.64 and 31,859.08

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Solution

The fourth proportional to 57,009.56, 78,672.64 and 31,859.08 is: 43,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.56 : 78,672.64 = 31,859.08 : x
  2. Step 2: Convert to fraction form
    57,009.56/78,672.64 = 31,859.08/x
  3. Step 3: Cross multiply
    57,009.56x = 78,672.64 × 31,859.08
  4. Step 4: Simplify right side
    57,009.56x = 2,506,437,931.57
  5. Step 5: Solve for x
    x = 2,506,437,931.57/57,009.56
  6. Step 6: Final answer
    x = 43,965.22

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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.