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Finding the Fourth Proportional to 12,641,413.16, 17,445,019.02 and 6,840,066.80

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Solution

The fourth proportional to 12,641,413.16, 17,445,019.02 and 6,840,066.80 is: 9,439,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641,413.16 : 17,445,019.02 = 6,840,066.80 : x
  2. Step 2: Convert to fraction form
    12,641,413.16/17,445,019.02 = 6,840,066.80/x
  3. Step 3: Cross multiply
    12,641,413.16x = 17,445,019.02 × 6,840,066.80
  4. Step 4: Simplify right side
    12,641,413.16x = 119,325,095,424,070.53
  5. Step 5: Solve for x
    x = 119,325,095,424,070.53/12,641,413.16
  6. Step 6: Final answer
    x = 9,439,221.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.