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Finding the Fourth Proportional to 145,522.98, 200,788.47 and 81,837.54

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Solution

The fourth proportional to 145,522.98, 200,788.47 and 81,837.54 is: 112,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,522.98 : 200,788.47 = 81,837.54 : x
  2. Step 2: Convert to fraction form
    145,522.98/200,788.47 = 81,837.54/x
  3. Step 3: Cross multiply
    145,522.98x = 200,788.47 × 81,837.54
  4. Step 4: Simplify right side
    145,522.98x = 16,432,034,445.16
  5. Step 5: Solve for x
    x = 16,432,034,445.16/145,522.98
  6. Step 6: Final answer
    x = 112,917.11

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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.