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Finding the Fourth Proportional to 104,013, 143,537.16 and 56,265.66

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Solution

The fourth proportional to 104,013, 143,537.16 and 56,265.66 is: 77,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,013 : 143,537.16 = 56,265.66 : x
  2. Step 2: Convert to fraction form
    104,013/143,537.16 = 56,265.66/x
  3. Step 3: Cross multiply
    104,013x = 143,537.16 × 56,265.66
  4. Step 4: Simplify right side
    104,013x = 8,076,213,041.93
  5. Step 5: Solve for x
    x = 8,076,213,041.93/104,013
  6. Step 6: Final answer
    x = 77,646.19

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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.