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Finding the Fourth Proportional to 107,205.88, 147,975.06 and 64,767.64

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Solution

The fourth proportional to 107,205.88, 147,975.06 and 64,767.64 is: 89,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,205.88 : 147,975.06 = 64,767.64 : x
  2. Step 2: Convert to fraction form
    107,205.88/147,975.06 = 64,767.64/x
  3. Step 3: Cross multiply
    107,205.88x = 147,975.06 × 64,767.64
  4. Step 4: Simplify right side
    107,205.88x = 9,583,995,415.06
  5. Step 5: Solve for x
    x = 9,583,995,415.06/107,205.88
  6. Step 6: Final answer
    x = 89,398.04

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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.