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Finding the Fourth Proportional to 103,960.77, 143,465.76 and 56,214

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Solution

The fourth proportional to 103,960.77, 143,465.76 and 56,214 is: 77,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.77 : 143,465.76 = 56,214 : x
  2. Step 2: Convert to fraction form
    103,960.77/143,465.76 = 56,214/x
  3. Step 3: Cross multiply
    103,960.77x = 143,465.76 × 56,214
  4. Step 4: Simplify right side
    103,960.77x = 8,064,784,074.54
  5. Step 5: Solve for x
    x = 8,064,784,074.54/103,960.77
  6. Step 6: Final answer
    x = 77,575.27

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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.