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Finding the Fourth Proportional to 83,027.72, 114,578.70 and 45,302.78

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Solution

The fourth proportional to 83,027.72, 114,578.70 and 45,302.78 is: 62,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.72 : 114,578.70 = 45,302.78 : x
  2. Step 2: Convert to fraction form
    83,027.72/114,578.70 = 45,302.78/x
  3. Step 3: Cross multiply
    83,027.72x = 114,578.70 × 45,302.78
  4. Step 4: Simplify right side
    83,027.72x = 5,190,733,638.79
  5. Step 5: Solve for x
    x = 5,190,733,638.79/83,027.72
  6. Step 6: Final answer
    x = 62,518.08

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1.5x scale

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.