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Finding the Fourth Proportional to 100,683, 138,938.98 and 55,360.67

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Solution

The fourth proportional to 100,683, 138,938.98 and 55,360.67 is: 76,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683 : 138,938.98 = 55,360.67 : x
  2. Step 2: Convert to fraction form
    100,683/138,938.98 = 55,360.67/x
  3. Step 3: Cross multiply
    100,683x = 138,938.98 × 55,360.67
  4. Step 4: Simplify right side
    100,683x = 7,691,754,526.17
  5. Step 5: Solve for x
    x = 7,691,754,526.17/100,683
  6. Step 6: Final answer
    x = 76,395.76

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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.