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Finding the Fourth Proportional to 209,581.93, 314,276.40 and 67,400.86

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Solution

The fourth proportional to 209,581.93, 314,276.40 and 67,400.86 is: 101,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581.93 : 314,276.40 = 67,400.86 : x
  2. Step 2: Convert to fraction form
    209,581.93/314,276.40 = 67,400.86/x
  3. Step 3: Cross multiply
    209,581.93x = 314,276.40 × 67,400.86
  4. Step 4: Simplify right side
    209,581.93x = 21,182,499,637.70
  5. Step 5: Solve for x
    x = 21,182,499,637.70/209,581.93
  6. Step 6: Final answer
    x = 101,070.26

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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.