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Finding the Fourth Proportional to 62,138, 93,123.66 and 30,499.76

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Solution

The fourth proportional to 62,138, 93,123.66 and 30,499.76 is: 45,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,138 : 93,123.66 = 30,499.76 : x
  2. Step 2: Convert to fraction form
    62,138/93,123.66 = 30,499.76/x
  3. Step 3: Cross multiply
    62,138x = 93,123.66 × 30,499.76
  4. Step 4: Simplify right side
    62,138x = 2,840,249,280.32
  5. Step 5: Solve for x
    x = 2,840,249,280.32/62,138
  6. Step 6: Final answer
    x = 45,708.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.