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Finding the Fourth Proportional to 81,698.60, 122,547.90 and 74,311.40

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Solution

The fourth proportional to 81,698.60, 122,547.90 and 74,311.40 is: 111,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698.60 : 122,547.90 = 74,311.40 : x
  2. Step 2: Convert to fraction form
    81,698.60/122,547.90 = 74,311.40/x
  3. Step 3: Cross multiply
    81,698.60x = 122,547.90 × 74,311.40
  4. Step 4: Simplify right side
    81,698.60x = 9,106,706,016.06
  5. Step 5: Solve for x
    x = 9,106,706,016.06/81,698.60
  6. Step 6: Final answer
    x = 111,467.10

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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.