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Finding the Fourth Proportional to 55,585, 76,708.02 and 30,433.96

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Solution

The fourth proportional to 55,585, 76,708.02 and 30,433.96 is: 41,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,585 : 76,708.02 = 30,433.96 : x
  2. Step 2: Convert to fraction form
    55,585/76,708.02 = 30,433.96/x
  3. Step 3: Cross multiply
    55,585x = 76,708.02 × 30,433.96
  4. Step 4: Simplify right side
    55,585x = 2,334,528,812.36
  5. Step 5: Solve for x
    x = 2,334,528,812.36/55,585
  6. Step 6: Final answer
    x = 41,999.26

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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.