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Finding the Fourth Proportional to 135,407.96, 186,883.62 and 84,429

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Solution

The fourth proportional to 135,407.96, 186,883.62 and 84,429 is: 116,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,407.96 : 186,883.62 = 84,429 : x
  2. Step 2: Convert to fraction form
    135,407.96/186,883.62 = 84,429/x
  3. Step 3: Cross multiply
    135,407.96x = 186,883.62 × 84,429
  4. Step 4: Simplify right side
    135,407.96x = 15,778,397,152.98
  5. Step 5: Solve for x
    x = 15,778,397,152.98/135,407.96
  6. Step 6: Final answer
    x = 116,524.89

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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.