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Finding the Fourth Proportional to 228,166.20, 342,216.90 and 78,413.40

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Solution

The fourth proportional to 228,166.20, 342,216.90 and 78,413.40 is: 117,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,166.20 : 342,216.90 = 78,413.40 : x
  2. Step 2: Convert to fraction form
    228,166.20/342,216.90 = 78,413.40/x
  3. Step 3: Cross multiply
    228,166.20x = 342,216.90 × 78,413.40
  4. Step 4: Simplify right side
    228,166.20x = 26,834,390,666.46
  5. Step 5: Solve for x
    x = 26,834,390,666.46/228,166.20
  6. Step 6: Final answer
    x = 117,608.97

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1.5x scale

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.