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Finding the Fourth Proportional to 78,004.60, 117,005.10 and 25,413.70

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Solution

The fourth proportional to 78,004.60, 117,005.10 and 25,413.70 is: 38,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.60 : 117,005.10 = 25,413.70 : x
  2. Step 2: Convert to fraction form
    78,004.60/117,005.10 = 25,413.70/x
  3. Step 3: Cross multiply
    78,004.60x = 117,005.10 × 25,413.70
  4. Step 4: Simplify right side
    78,004.60x = 2,973,532,509.87
  5. Step 5: Solve for x
    x = 2,973,532,509.87/78,004.60
  6. Step 6: Final answer
    x = 38,119.96

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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.