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Finding the Fourth Proportional to 199,581.20, 299,413.40 and 66,502.80

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Solution

The fourth proportional to 199,581.20, 299,413.40 and 66,502.80 is: 99,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,581.20 : 299,413.40 = 66,502.80 : x
  2. Step 2: Convert to fraction form
    199,581.20/299,413.40 = 66,502.80/x
  3. Step 3: Cross multiply
    199,581.20x = 299,413.40 × 66,502.80
  4. Step 4: Simplify right side
    199,581.20x = 19,911,829,457.52
  5. Step 5: Solve for x
    x = 19,911,829,457.52/199,581.20
  6. Step 6: Final answer
    x = 99,768.06

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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.