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Finding the Fourth Proportional to 171,698.40, 257,547.60 and 71,825.40

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Solution

The fourth proportional to 171,698.40, 257,547.60 and 71,825.40 is: 107,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.40 : 257,547.60 = 71,825.40 : x
  2. Step 2: Convert to fraction form
    171,698.40/257,547.60 = 71,825.40/x
  3. Step 3: Cross multiply
    171,698.40x = 257,547.60 × 71,825.40
  4. Step 4: Simplify right side
    171,698.40x = 18,498,459,389.04
  5. Step 5: Solve for x
    x = 18,498,459,389.04/171,698.40
  6. Step 6: Final answer
    x = 107,738.10

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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.