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Finding the Fourth Proportional to 102,125.63, 140,933.37 and 57,413.63

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Solution

The fourth proportional to 102,125.63, 140,933.37 and 57,413.63 is: 79,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.63 : 140,933.37 = 57,413.63 : x
  2. Step 2: Convert to fraction form
    102,125.63/140,933.37 = 57,413.63/x
  3. Step 3: Cross multiply
    102,125.63x = 140,933.37 × 57,413.63
  4. Step 4: Simplify right side
    102,125.63x = 8,091,495,655.17
  5. Step 5: Solve for x
    x = 8,091,495,655.17/102,125.63
  6. Step 6: Final answer
    x = 79,230.81

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1.5x scale

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.