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Finding the Fourth Proportional to 100,809.60, 151,214.40 and 70,742.40

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Solution

The fourth proportional to 100,809.60, 151,214.40 and 70,742.40 is: 106,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,809.60 : 151,214.40 = 70,742.40 : x
  2. Step 2: Convert to fraction form
    100,809.60/151,214.40 = 70,742.40/x
  3. Step 3: Cross multiply
    100,809.60x = 151,214.40 × 70,742.40
  4. Step 4: Simplify right side
    100,809.60x = 10,697,269,570.56
  5. Step 5: Solve for x
    x = 10,697,269,570.56/100,809.60
  6. Step 6: Final answer
    x = 106,113.60

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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.