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Finding the Fourth Proportional to 69,201.60, 103,802.40 and 51,705.60

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Solution

The fourth proportional to 69,201.60, 103,802.40 and 51,705.60 is: 77,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201.60 : 103,802.40 = 51,705.60 : x
  2. Step 2: Convert to fraction form
    69,201.60/103,802.40 = 51,705.60/x
  3. Step 3: Cross multiply
    69,201.60x = 103,802.40 × 51,705.60
  4. Step 4: Simplify right side
    69,201.60x = 5,367,165,373.44
  5. Step 5: Solve for x
    x = 5,367,165,373.44/69,201.60
  6. Step 6: Final answer
    x = 77,558.40

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1.5x scale

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.