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Finding the Fourth Proportional to 231,157.28, 346,718.64 and 83,413.28

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Solution

The fourth proportional to 231,157.28, 346,718.64 and 83,413.28 is: 125,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,157.28 : 346,718.64 = 83,413.28 : x
  2. Step 2: Convert to fraction form
    231,157.28/346,718.64 = 83,413.28/x
  3. Step 3: Cross multiply
    231,157.28x = 346,718.64 × 83,413.28
  4. Step 4: Simplify right side
    231,157.28x = 28,920,938,999.54
  5. Step 5: Solve for x
    x = 28,920,938,999.54/231,157.28
  6. Step 6: Final answer
    x = 125,113.68

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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.