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Finding the Fourth Proportional to 83,112.24, 114,693.12 and 45,386.64

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Solution

The fourth proportional to 83,112.24, 114,693.12 and 45,386.64 is: 62,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112.24 : 114,693.12 = 45,386.64 : x
  2. Step 2: Convert to fraction form
    83,112.24/114,693.12 = 45,386.64/x
  3. Step 3: Cross multiply
    83,112.24x = 114,693.12 × 45,386.64
  4. Step 4: Simplify right side
    83,112.24x = 5,205,535,347.92
  5. Step 5: Solve for x
    x = 5,205,535,347.92/83,112.24
  6. Step 6: Final answer
    x = 62,632.60

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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.