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Finding the Fourth Proportional to 57,802.17, 79,805.07 and 38,706.42

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Solution

The fourth proportional to 57,802.17, 79,805.07 and 38,706.42 is: 53,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.17 : 79,805.07 = 38,706.42 : x
  2. Step 2: Convert to fraction form
    57,802.17/79,805.07 = 38,706.42/x
  3. Step 3: Cross multiply
    57,802.17x = 79,805.07 × 38,706.42
  4. Step 4: Simplify right side
    57,802.17x = 3,088,968,557.55
  5. Step 5: Solve for x
    x = 3,088,968,557.55/57,802.17
  6. Step 6: Final answer
    x = 53,440.36

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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.