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Finding the Fourth Proportional to 103,463.77, 142,782.84 and 58,145.88

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Solution

The fourth proportional to 103,463.77, 142,782.84 and 58,145.88 is: 80,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.77 : 142,782.84 = 58,145.88 : x
  2. Step 2: Convert to fraction form
    103,463.77/142,782.84 = 58,145.88/x
  3. Step 3: Cross multiply
    103,463.77x = 142,782.84 × 58,145.88
  4. Step 4: Simplify right side
    103,463.77x = 8,302,233,880.70
  5. Step 5: Solve for x
    x = 8,302,233,880.70/103,463.77
  6. Step 6: Final answer
    x = 80,242.91

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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.