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Finding the Fourth Proportional to 107,083, 147,570.82 and 78,411.43

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Solution

The fourth proportional to 107,083, 147,570.82 and 78,411.43 is: 108,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,083 : 147,570.82 = 78,411.43 : x
  2. Step 2: Convert to fraction form
    107,083/147,570.82 = 78,411.43/x
  3. Step 3: Cross multiply
    107,083x = 147,570.82 × 78,411.43
  4. Step 4: Simplify right side
    107,083x = 11,571,239,022.47
  5. Step 5: Solve for x
    x = 11,571,239,022.47/107,083
  6. Step 6: Final answer
    x = 108,058.60

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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.