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Finding the Fourth Proportional to 83,320.25, 114,953.31 and 47,484.36

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Solution

The fourth proportional to 83,320.25, 114,953.31 and 47,484.36 is: 65,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,320.25 : 114,953.31 = 47,484.36 : x
  2. Step 2: Convert to fraction form
    83,320.25/114,953.31 = 47,484.36/x
  3. Step 3: Cross multiply
    83,320.25x = 114,953.31 × 47,484.36
  4. Step 4: Simplify right side
    83,320.25x = 5,458,484,355.23
  5. Step 5: Solve for x
    x = 5,458,484,355.23/83,320.25
  6. Step 6: Final answer
    x = 65,512.10

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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.