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Finding the Fourth Proportional to 170,643.40, 255,638.70 and 91,731.40

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Solution

The fourth proportional to 170,643.40, 255,638.70 and 91,731.40 is: 137,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,643.40 : 255,638.70 = 91,731.40 : x
  2. Step 2: Convert to fraction form
    170,643.40/255,638.70 = 91,731.40/x
  3. Step 3: Cross multiply
    170,643.40x = 255,638.70 × 91,731.40
  4. Step 4: Simplify right side
    170,643.40x = 23,450,095,845.18
  5. Step 5: Solve for x
    x = 23,450,095,845.18/170,643.40
  6. Step 6: Final answer
    x = 137,421.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.