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Finding the Fourth Proportional to 108,742.40, 162,806.40 and 105,670.40

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Solution

The fourth proportional to 108,742.40, 162,806.40 and 105,670.40 is: 158,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,742.40 : 162,806.40 = 105,670.40 : x
  2. Step 2: Convert to fraction form
    108,742.40/162,806.40 = 105,670.40/x
  3. Step 3: Cross multiply
    108,742.40x = 162,806.40 × 105,670.40
  4. Step 4: Simplify right side
    108,742.40x = 17,203,817,410.56
  5. Step 5: Solve for x
    x = 17,203,817,410.56/108,742.40
  6. Step 6: Final answer
    x = 158,207.08

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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.