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Finding the Fourth Proportional to 70,905.87, 97,812.60 and 42,205.14

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Solution

The fourth proportional to 70,905.87, 97,812.60 and 42,205.14 is: 58,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905.87 : 97,812.60 = 42,205.14 : x
  2. Step 2: Convert to fraction form
    70,905.87/97,812.60 = 42,205.14/x
  3. Step 3: Cross multiply
    70,905.87x = 97,812.60 × 42,205.14
  4. Step 4: Simplify right side
    70,905.87x = 4,128,194,476.76
  5. Step 5: Solve for x
    x = 4,128,194,476.76/70,905.87
  6. Step 6: Final answer
    x = 58,220.77

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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.