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Finding the Fourth Proportional to 55,530.76, 76,634.28 and 31,657

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Solution

The fourth proportional to 55,530.76, 76,634.28 and 31,657 is: 43,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,530.76 : 76,634.28 = 31,657 : x
  2. Step 2: Convert to fraction form
    55,530.76/76,634.28 = 31,657/x
  3. Step 3: Cross multiply
    55,530.76x = 76,634.28 × 31,657
  4. Step 4: Simplify right side
    55,530.76x = 2,426,011,401.96
  5. Step 5: Solve for x
    x = 2,426,011,401.96/55,530.76
  6. Step 6: Final answer
    x = 43,687.70

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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.