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Finding the Fourth Proportional to 103,146, 154,733.76 and 39,127.68

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Solution

The fourth proportional to 103,146, 154,733.76 and 39,127.68 is: 58,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,146 : 154,733.76 = 39,127.68 : x
  2. Step 2: Convert to fraction form
    103,146/154,733.76 = 39,127.68/x
  3. Step 3: Cross multiply
    103,146x = 154,733.76 × 39,127.68
  4. Step 4: Simplify right side
    103,146x = 6,054,373,046.48
  5. Step 5: Solve for x
    x = 6,054,373,046.48/103,146
  6. Step 6: Final answer
    x = 58,697.12

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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.