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Finding the Fourth Proportional to 55,101.76, 76,038.84 and 31,230.68

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Solution

The fourth proportional to 55,101.76, 76,038.84 and 31,230.68 is: 43,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,101.76 : 76,038.84 = 31,230.68 : x
  2. Step 2: Convert to fraction form
    55,101.76/76,038.84 = 31,230.68/x
  3. Step 3: Cross multiply
    55,101.76x = 76,038.84 × 31,230.68
  4. Step 4: Simplify right side
    55,101.76x = 2,374,744,679.61
  5. Step 5: Solve for x
    x = 2,374,744,679.61/55,101.76
  6. Step 6: Final answer
    x = 43,097.44

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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.