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Finding the Fourth Proportional to 103,413.40, 155,120.10 and 77,169.40

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Solution

The fourth proportional to 103,413.40, 155,120.10 and 77,169.40 is: 115,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.40 : 155,120.10 = 77,169.40 : x
  2. Step 2: Convert to fraction form
    103,413.40/155,120.10 = 77,169.40/x
  3. Step 3: Cross multiply
    103,413.40x = 155,120.10 × 77,169.40
  4. Step 4: Simplify right side
    103,413.40x = 11,970,525,044.94
  5. Step 5: Solve for x
    x = 11,970,525,044.94/103,413.40
  6. Step 6: Final answer
    x = 115,754.10

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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.