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Finding the Fourth Proportional to 55,657, 76,806.66 and 30,506.60

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Solution

The fourth proportional to 55,657, 76,806.66 and 30,506.60 is: 42,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,657 : 76,806.66 = 30,506.60 : x
  2. Step 2: Convert to fraction form
    55,657/76,806.66 = 30,506.60/x
  3. Step 3: Cross multiply
    55,657x = 76,806.66 × 30,506.60
  4. Step 4: Simplify right side
    55,657x = 2,343,110,053.96
  5. Step 5: Solve for x
    x = 2,343,110,053.96/55,657
  6. Step 6: Final answer
    x = 42,099.11

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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.