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Finding the Fourth Proportional to 122,413.68, 168,973.02 and 77,167.89

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Solution

The fourth proportional to 122,413.68, 168,973.02 and 77,167.89 is: 106,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,413.68 : 168,973.02 = 77,167.89 : x
  2. Step 2: Convert to fraction form
    122,413.68/168,973.02 = 77,167.89/x
  3. Step 3: Cross multiply
    122,413.68x = 168,973.02 × 77,167.89
  4. Step 4: Simplify right side
    122,413.68x = 13,039,291,420.33
  5. Step 5: Solve for x
    x = 13,039,291,420.33/122,413.68
  6. Step 6: Final answer
    x = 106,518.25

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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.