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Finding the Fourth Proportional to 55,875.76, 77,086.68 and 31,989.64

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Solution

The fourth proportional to 55,875.76, 77,086.68 and 31,989.64 is: 44,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,875.76 : 77,086.68 = 31,989.64 : x
  2. Step 2: Convert to fraction form
    55,875.76/77,086.68 = 31,989.64/x
  3. Step 3: Cross multiply
    55,875.76x = 77,086.68 × 31,989.64
  4. Step 4: Simplify right side
    55,875.76x = 2,465,975,142.00
  5. Step 5: Solve for x
    x = 2,465,975,142.00/55,875.76
  6. Step 6: Final answer
    x = 44,133.18

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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.