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Finding the Fourth Proportional to 108,642.92, 149,871.52 and 65,598.66

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Solution

The fourth proportional to 108,642.92, 149,871.52 and 65,598.66 is: 90,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,642.92 : 149,871.52 = 65,598.66 : x
  2. Step 2: Convert to fraction form
    108,642.92/149,871.52 = 65,598.66/x
  3. Step 3: Cross multiply
    108,642.92x = 149,871.52 × 65,598.66
  4. Step 4: Simplify right side
    108,642.92x = 9,831,370,597.17
  5. Step 5: Solve for x
    x = 9,831,370,597.17/108,642.92
  6. Step 6: Final answer
    x = 90,492.51

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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.