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Finding the Fourth Proportional to 67,828, 93,602.64 and 38,020

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Solution

The fourth proportional to 67,828, 93,602.64 and 38,020 is: 52,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828 : 93,602.64 = 38,020 : x
  2. Step 2: Convert to fraction form
    67,828/93,602.64 = 38,020/x
  3. Step 3: Cross multiply
    67,828x = 93,602.64 × 38,020
  4. Step 4: Simplify right side
    67,828x = 3,558,772,372.80
  5. Step 5: Solve for x
    x = 3,558,772,372.80/67,828
  6. Step 6: Final answer
    x = 52,467.60

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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.