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Finding the Fourth Proportional to 76,561.71, 114,865.87 and 39,148.06

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Solution

The fourth proportional to 76,561.71, 114,865.87 and 39,148.06 is: 58,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,561.71 : 114,865.87 = 39,148.06 : x
  2. Step 2: Convert to fraction form
    76,561.71/114,865.87 = 39,148.06/x
  3. Step 3: Cross multiply
    76,561.71x = 114,865.87 × 39,148.06
  4. Step 4: Simplify right side
    76,561.71x = 4,496,775,200.64
  5. Step 5: Solve for x
    x = 4,496,775,200.64/76,561.71
  6. Step 6: Final answer
    x = 58,734.00

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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.