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Finding the Fourth Proportional to 210,005.20, 315,007.80 and 99,413.20

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Solution

The fourth proportional to 210,005.20, 315,007.80 and 99,413.20 is: 149,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.20 : 315,007.80 = 99,413.20 : x
  2. Step 2: Convert to fraction form
    210,005.20/315,007.80 = 99,413.20/x
  3. Step 3: Cross multiply
    210,005.20x = 315,007.80 × 99,413.20
  4. Step 4: Simplify right side
    210,005.20x = 31,315,933,422.96
  5. Step 5: Solve for x
    x = 31,315,933,422.96/210,005.20
  6. Step 6: Final answer
    x = 149,119.80

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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.