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Finding the Fourth Proportional to 70,742.59, 106,102.35 and 20,811.01

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Solution

The fourth proportional to 70,742.59, 106,102.35 and 20,811.01 is: 31,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742.59 : 106,102.35 = 20,811.01 : x
  2. Step 2: Convert to fraction form
    70,742.59/106,102.35 = 20,811.01/x
  3. Step 3: Cross multiply
    70,742.59x = 106,102.35 × 20,811.01
  4. Step 4: Simplify right side
    70,742.59x = 2,208,097,332.13
  5. Step 5: Solve for x
    x = 2,208,097,332.13/70,742.59
  6. Step 6: Final answer
    x = 31,213.13

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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.