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Finding the Fourth Proportional to 57,202.88, 78,938.98 and 31,709.15

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Solution

The fourth proportional to 57,202.88, 78,938.98 and 31,709.15 is: 43,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.88 : 78,938.98 = 31,709.15 : x
  2. Step 2: Convert to fraction form
    57,202.88/78,938.98 = 31,709.15/x
  3. Step 3: Cross multiply
    57,202.88x = 78,938.98 × 31,709.15
  4. Step 4: Simplify right side
    57,202.88x = 2,503,087,957.67
  5. Step 5: Solve for x
    x = 2,503,087,957.67/57,202.88
  6. Step 6: Final answer
    x = 43,758.08

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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.