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Finding the Fourth Proportional to 108,699.75, 149,929.77 and 105,042

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Solution

The fourth proportional to 108,699.75, 149,929.77 and 105,042 is: 144,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,699.75 : 149,929.77 = 105,042 : x
  2. Step 2: Convert to fraction form
    108,699.75/149,929.77 = 105,042/x
  3. Step 3: Cross multiply
    108,699.75x = 149,929.77 × 105,042
  4. Step 4: Simplify right side
    108,699.75x = 15,748,922,900.34
  5. Step 5: Solve for x
    x = 15,748,922,900.34/108,699.75
  6. Step 6: Final answer
    x = 144,884.63

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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.