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Finding the Fourth Proportional to 209,564.68, 314,157.48 and 76,413.79

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Solution

The fourth proportional to 209,564.68, 314,157.48 and 76,413.79 is: 114,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,564.68 : 314,157.48 = 76,413.79 : x
  2. Step 2: Convert to fraction form
    209,564.68/314,157.48 = 76,413.79/x
  3. Step 3: Cross multiply
    209,564.68x = 314,157.48 × 76,413.79
  4. Step 4: Simplify right side
    209,564.68x = 24,005,963,703.65
  5. Step 5: Solve for x
    x = 24,005,963,703.65/209,564.68
  6. Step 6: Final answer
    x = 114,551.57

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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.