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Finding the Fourth Proportional to 102,865.29, 154,048.77 and 71,186.58

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Solution

The fourth proportional to 102,865.29, 154,048.77 and 71,186.58 is: 106,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,865.29 : 154,048.77 = 71,186.58 : x
  2. Step 2: Convert to fraction form
    102,865.29/154,048.77 = 71,186.58/x
  3. Step 3: Cross multiply
    102,865.29x = 154,048.77 × 71,186.58
  4. Step 4: Simplify right side
    102,865.29x = 10,966,205,089.51
  5. Step 5: Solve for x
    x = 10,966,205,089.51/102,865.29
  6. Step 6: Final answer
    x = 106,607.44

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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.