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Finding the Fourth Proportional to 100,905.72, 139,104.42 and 70,597.14

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Solution

The fourth proportional to 100,905.72, 139,104.42 and 70,597.14 is: 97,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.72 : 139,104.42 = 70,597.14 : x
  2. Step 2: Convert to fraction form
    100,905.72/139,104.42 = 70,597.14/x
  3. Step 3: Cross multiply
    100,905.72x = 139,104.42 × 70,597.14
  4. Step 4: Simplify right side
    100,905.72x = 9,820,374,213.36
  5. Step 5: Solve for x
    x = 9,820,374,213.36/100,905.72
  6. Step 6: Final answer
    x = 97,322.27

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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.