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Finding the Fourth Proportional to 108,691.88, 149,943.76 and 76,878.32

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Solution

The fourth proportional to 108,691.88, 149,943.76 and 76,878.32 is: 106,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,691.88 : 149,943.76 = 76,878.32 : x
  2. Step 2: Convert to fraction form
    108,691.88/149,943.76 = 76,878.32/x
  3. Step 3: Cross multiply
    108,691.88x = 149,943.76 × 76,878.32
  4. Step 4: Simplify right side
    108,691.88x = 11,527,423,421.37
  5. Step 5: Solve for x
    x = 11,527,423,421.37/108,691.88
  6. Step 6: Final answer
    x = 106,055.98

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1.5x scale

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.