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Finding the Fourth Proportional to 55,574.63, 76,685.81 and 31,699.88

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Solution

The fourth proportional to 55,574.63, 76,685.81 and 31,699.88 is: 43,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,574.63 : 76,685.81 = 31,699.88 : x
  2. Step 2: Convert to fraction form
    55,574.63/76,685.81 = 31,699.88/x
  3. Step 3: Cross multiply
    55,574.63x = 76,685.81 × 31,699.88
  4. Step 4: Simplify right side
    55,574.63x = 2,430,930,670.52
  5. Step 5: Solve for x
    x = 2,430,930,670.52/55,574.63
  6. Step 6: Final answer
    x = 43,741.74

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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.