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Finding the Fourth Proportional to 76,254.94, 114,368.37 and 31,869.78

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Solution

The fourth proportional to 76,254.94, 114,368.37 and 31,869.78 is: 47,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254.94 : 114,368.37 = 31,869.78 : x
  2. Step 2: Convert to fraction form
    76,254.94/114,368.37 = 31,869.78/x
  3. Step 3: Cross multiply
    76,254.94x = 114,368.37 × 31,869.78
  4. Step 4: Simplify right side
    76,254.94x = 3,644,894,790.86
  5. Step 5: Solve for x
    x = 3,644,894,790.86/76,254.94
  6. Step 6: Final answer
    x = 47,798.80

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1.5x scale

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.