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Finding the Fourth Proportional to 83,690.49, 115,492.52 and 45,449.77

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Solution

The fourth proportional to 83,690.49, 115,492.52 and 45,449.77 is: 62,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,690.49 : 115,492.52 = 45,449.77 : x
  2. Step 2: Convert to fraction form
    83,690.49/115,492.52 = 45,449.77/x
  3. Step 3: Cross multiply
    83,690.49x = 115,492.52 × 45,449.77
  4. Step 4: Simplify right side
    83,690.49x = 5,249,107,954.74
  5. Step 5: Solve for x
    x = 5,249,107,954.74/83,690.49
  6. Step 6: Final answer
    x = 62,720.48

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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.