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Finding the Fourth Proportional to 83,510, 115,243.82 and 45,784.52

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Solution

The fourth proportional to 83,510, 115,243.82 and 45,784.52 is: 63,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,510 : 115,243.82 = 45,784.52 : x
  2. Step 2: Convert to fraction form
    83,510/115,243.82 = 45,784.52/x
  3. Step 3: Cross multiply
    83,510x = 115,243.82 × 45,784.52
  4. Step 4: Simplify right side
    83,510x = 5,276,382,981.67
  5. Step 5: Solve for x
    x = 5,276,382,981.67/83,510
  6. Step 6: Final answer
    x = 63,182.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.