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Finding the Fourth Proportional to 76,374.80, 114,426.64 and 31,903.68

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Solution

The fourth proportional to 76,374.80, 114,426.64 and 31,903.68 is: 47,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.80 : 114,426.64 = 31,903.68 : x
  2. Step 2: Convert to fraction form
    76,374.80/114,426.64 = 31,903.68/x
  3. Step 3: Cross multiply
    76,374.80x = 114,426.64 × 31,903.68
  4. Step 4: Simplify right side
    76,374.80x = 3,650,630,906.04
  5. Step 5: Solve for x
    x = 3,650,630,906.04/76,374.80
  6. Step 6: Final answer
    x = 47,798.89

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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.