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Finding the Fourth Proportional to 123,438.80, 170,369.16 and 72,462.80

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Solution

The fourth proportional to 123,438.80, 170,369.16 and 72,462.80 is: 100,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,438.80 : 170,369.16 = 72,462.80 : x
  2. Step 2: Convert to fraction form
    123,438.80/170,369.16 = 72,462.80/x
  3. Step 3: Cross multiply
    123,438.80x = 170,369.16 × 72,462.80
  4. Step 4: Simplify right side
    123,438.80x = 12,345,426,367.25
  5. Step 5: Solve for x
    x = 12,345,426,367.25/123,438.80
  6. Step 6: Final answer
    x = 100,012.53

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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.