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Finding the Fourth Proportional to 72,441, 108,671.64 and 68,457

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Solution

The fourth proportional to 72,441, 108,671.64 and 68,457 is: 102,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,441 : 108,671.64 = 68,457 : x
  2. Step 2: Convert to fraction form
    72,441/108,671.64 = 68,457/x
  3. Step 3: Cross multiply
    72,441x = 108,671.64 × 68,457
  4. Step 4: Simplify right side
    72,441x = 7,439,334,459.48
  5. Step 5: Solve for x
    x = 7,439,334,459.48/72,441
  6. Step 6: Final answer
    x = 102,695.08

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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.