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Finding the Fourth Proportional to 108,686.67, 149,830.12 and 76,322.71

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Solution

The fourth proportional to 108,686.67, 149,830.12 and 76,322.71 is: 105,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,686.67 : 149,830.12 = 76,322.71 : x
  2. Step 2: Convert to fraction form
    108,686.67/149,830.12 = 76,322.71/x
  3. Step 3: Cross multiply
    108,686.67x = 149,830.12 × 76,322.71
  4. Step 4: Simplify right side
    108,686.67x = 11,435,440,798.03
  5. Step 5: Solve for x
    x = 11,435,440,798.03/108,686.67
  6. Step 6: Final answer
    x = 105,214.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.