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Finding the Fourth Proportional to 108,538.20, 162,461.70 and 77,434.20

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Solution

The fourth proportional to 108,538.20, 162,461.70 and 77,434.20 is: 115,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.20 : 162,461.70 = 77,434.20 : x
  2. Step 2: Convert to fraction form
    108,538.20/162,461.70 = 77,434.20/x
  3. Step 3: Cross multiply
    108,538.20x = 162,461.70 × 77,434.20
  4. Step 4: Simplify right side
    108,538.20x = 12,580,091,770.14
  5. Step 5: Solve for x
    x = 12,580,091,770.14/108,538.20
  6. Step 6: Final answer
    x = 115,904.74

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1.5x scale

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.