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Finding the Fourth Proportional to 209,781.60, 314,643.60 and 69,525.60

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Solution

The fourth proportional to 209,781.60, 314,643.60 and 69,525.60 is: 104,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,781.60 : 314,643.60 = 69,525.60 : x
  2. Step 2: Convert to fraction form
    209,781.60/314,643.60 = 69,525.60/x
  3. Step 3: Cross multiply
    209,781.60x = 314,643.60 × 69,525.60
  4. Step 4: Simplify right side
    209,781.60x = 21,875,785,076.16
  5. Step 5: Solve for x
    x = 21,875,785,076.16/209,781.60
  6. Step 6: Final answer
    x = 104,278.86

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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.