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Finding the Fourth Proportional to 135,208, 202,812.80 and 36,712

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Solution

The fourth proportional to 135,208, 202,812.80 and 36,712 is: 55,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,208 : 202,812.80 = 36,712 : x
  2. Step 2: Convert to fraction form
    135,208/202,812.80 = 36,712/x
  3. Step 3: Cross multiply
    135,208x = 202,812.80 × 36,712
  4. Step 4: Simplify right side
    135,208x = 7,445,663,513.60
  5. Step 5: Solve for x
    x = 7,445,663,513.60/135,208
  6. Step 6: Final answer
    x = 55,068.22

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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.