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Finding the Fourth Proportional to 57,009.88, 78,673.76 and 31,859.38

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Solution

The fourth proportional to 57,009.88, 78,673.76 and 31,859.38 is: 43,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.88 : 78,673.76 = 31,859.38 : x
  2. Step 2: Convert to fraction form
    57,009.88/78,673.76 = 31,859.38/x
  3. Step 3: Cross multiply
    57,009.88x = 78,673.76 × 31,859.38
  4. Step 4: Simplify right side
    57,009.88x = 2,506,497,215.87
  5. Step 5: Solve for x
    x = 2,506,497,215.87/57,009.88
  6. Step 6: Final answer
    x = 43,966.01

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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.