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Finding the Fourth Proportional to 103,468.77, 142,786.15 and 58,145.77

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Solution

The fourth proportional to 103,468.77, 142,786.15 and 58,145.77 is: 80,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,468.77 : 142,786.15 = 58,145.77 : x
  2. Step 2: Convert to fraction form
    103,468.77/142,786.15 = 58,145.77/x
  3. Step 3: Cross multiply
    103,468.77x = 142,786.15 × 58,145.77
  4. Step 4: Simplify right side
    103,468.77x = 8,302,411,235.32
  5. Step 5: Solve for x
    x = 8,302,411,235.32/103,468.77
  6. Step 6: Final answer
    x = 80,240.75

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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.