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Finding the Fourth Proportional to 102,101.84, 153,172.23 and 38,916.68

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Solution

The fourth proportional to 102,101.84, 153,172.23 and 38,916.68 is: 58,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.84 : 153,172.23 = 38,916.68 : x
  2. Step 2: Convert to fraction form
    102,101.84/153,172.23 = 38,916.68/x
  3. Step 3: Cross multiply
    102,101.84x = 153,172.23 × 38,916.68
  4. Step 4: Simplify right side
    102,101.84x = 5,960,954,479.79
  5. Step 5: Solve for x
    x = 5,960,954,479.79/102,101.84
  6. Step 6: Final answer
    x = 58,382.44

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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.