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Finding the Fourth Proportional to 105,068.40, 157,991.40 and 87,961.20

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Solution

The fourth proportional to 105,068.40, 157,991.40 and 87,961.20 is: 132,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,068.40 : 157,991.40 = 87,961.20 : x
  2. Step 2: Convert to fraction form
    105,068.40/157,991.40 = 87,961.20/x
  3. Step 3: Cross multiply
    105,068.40x = 157,991.40 × 87,961.20
  4. Step 4: Simplify right side
    105,068.40x = 13,897,113,133.68
  5. Step 5: Solve for x
    x = 13,897,113,133.68/105,068.40
  6. Step 6: Final answer
    x = 132,267.30

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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.