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Finding the Fourth Proportional to 191,413.80, 264,148.41 and 106,530.90

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Solution

The fourth proportional to 191,413.80, 264,148.41 and 106,530.90 is: 147,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,413.80 : 264,148.41 = 106,530.90 : x
  2. Step 2: Convert to fraction form
    191,413.80/264,148.41 = 106,530.90/x
  3. Step 3: Cross multiply
    191,413.80x = 264,148.41 × 106,530.90
  4. Step 4: Simplify right side
    191,413.80x = 28,139,967,850.87
  5. Step 5: Solve for x
    x = 28,139,967,850.87/191,413.80
  6. Step 6: Final answer
    x = 147,011.18

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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.