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Finding the Fourth Proportional to 100,033.29, 138,030.62 and 57,583.62

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Solution

The fourth proportional to 100,033.29, 138,030.62 and 57,583.62 is: 79,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.29 : 138,030.62 = 57,583.62 : x
  2. Step 2: Convert to fraction form
    100,033.29/138,030.62 = 57,583.62/x
  3. Step 3: Cross multiply
    100,033.29x = 138,030.62 × 57,583.62
  4. Step 4: Simplify right side
    100,033.29x = 7,948,302,482.53
  5. Step 5: Solve for x
    x = 7,948,302,482.53/100,033.29
  6. Step 6: Final answer
    x = 79,456.57

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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.