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Finding the Fourth Proportional to 83,153.63, 114,751.81 and 45,428.15

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Solution

The fourth proportional to 83,153.63, 114,751.81 and 45,428.15 is: 62,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153.63 : 114,751.81 = 45,428.15 : x
  2. Step 2: Convert to fraction form
    83,153.63/114,751.81 = 45,428.15/x
  3. Step 3: Cross multiply
    83,153.63x = 114,751.81 × 45,428.15
  4. Step 4: Simplify right side
    83,153.63x = 5,212,962,437.45
  5. Step 5: Solve for x
    x = 5,212,962,437.45/83,153.63
  6. Step 6: Final answer
    x = 62,690.74

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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.