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Finding the Fourth Proportional to 103,768.86, 143,211.87 and 63,509.43

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Solution

The fourth proportional to 103,768.86, 143,211.87 and 63,509.43 is: 87,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,768.86 : 143,211.87 = 63,509.43 : x
  2. Step 2: Convert to fraction form
    103,768.86/143,211.87 = 63,509.43/x
  3. Step 3: Cross multiply
    103,768.86x = 143,211.87 × 63,509.43
  4. Step 4: Simplify right side
    103,768.86x = 9,095,304,232.93
  5. Step 5: Solve for x
    x = 9,095,304,232.93/103,768.86
  6. Step 6: Final answer
    x = 87,649.65

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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.