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Finding the Fourth Proportional to 103,689.76, 143,092.08 and 58,977.76

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Solution

The fourth proportional to 103,689.76, 143,092.08 and 58,977.76 is: 81,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689.76 : 143,092.08 = 58,977.76 : x
  2. Step 2: Convert to fraction form
    103,689.76/143,092.08 = 58,977.76/x
  3. Step 3: Cross multiply
    103,689.76x = 143,092.08 × 58,977.76
  4. Step 4: Simplify right side
    103,689.76x = 8,439,250,352.14
  5. Step 5: Solve for x
    x = 8,439,250,352.14/103,689.76
  6. Step 6: Final answer
    x = 81,389.43

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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.