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Finding the Fourth Proportional to 100,902.72, 139,100.28 and 70,594.14

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Solution

The fourth proportional to 100,902.72, 139,100.28 and 70,594.14 is: 97,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902.72 : 139,100.28 = 70,594.14 : x
  2. Step 2: Convert to fraction form
    100,902.72/139,100.28 = 70,594.14/x
  3. Step 3: Cross multiply
    100,902.72x = 139,100.28 × 70,594.14
  4. Step 4: Simplify right side
    100,902.72x = 9,819,664,640.36
  5. Step 5: Solve for x
    x = 9,819,664,640.36/100,902.72
  6. Step 6: Final answer
    x = 97,318.14

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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.