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Finding the Fourth Proportional to 124,157.74, 171,218.57 and 83,413.93

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Solution

The fourth proportional to 124,157.74, 171,218.57 and 83,413.93 is: 115,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,157.74 : 171,218.57 = 83,413.93 : x
  2. Step 2: Convert to fraction form
    124,157.74/171,218.57 = 83,413.93/x
  3. Step 3: Cross multiply
    124,157.74x = 171,218.57 × 83,413.93
  4. Step 4: Simplify right side
    124,157.74x = 14,282,013,280.37
  5. Step 5: Solve for x
    x = 14,282,013,280.37/124,157.74
  6. Step 6: Final answer
    x = 115,031.20

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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.