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Finding the Fourth Proportional to 107,009.17, 147,639.17 and 61,680.96

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Solution

The fourth proportional to 107,009.17, 147,639.17 and 61,680.96 is: 85,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,009.17 : 147,639.17 = 61,680.96 : x
  2. Step 2: Convert to fraction form
    107,009.17/147,639.17 = 61,680.96/x
  3. Step 3: Cross multiply
    107,009.17x = 147,639.17 × 61,680.96
  4. Step 4: Simplify right side
    107,009.17x = 9,106,525,893.41
  5. Step 5: Solve for x
    x = 9,106,525,893.41/107,009.17
  6. Step 6: Final answer
    x = 85,100.43

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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.