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Finding the Fourth Proportional to 76,685.93, 114,971.48 and 51,655.71

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Solution

The fourth proportional to 76,685.93, 114,971.48 and 51,655.71 is: 77,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685.93 : 114,971.48 = 51,655.71 : x
  2. Step 2: Convert to fraction form
    76,685.93/114,971.48 = 51,655.71/x
  3. Step 3: Cross multiply
    76,685.93x = 114,971.48 × 51,655.71
  4. Step 4: Simplify right side
    76,685.93x = 5,938,933,170.87
  5. Step 5: Solve for x
    x = 5,938,933,170.87/76,685.93
  6. Step 6: Final answer
    x = 77,444.89

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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.