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Finding the Fourth Proportional to 142,008.63, 195,965.06 and 77,474.04

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Solution

The fourth proportional to 142,008.63, 195,965.06 and 77,474.04 is: 106,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,008.63 : 195,965.06 = 77,474.04 : x
  2. Step 2: Convert to fraction form
    142,008.63/195,965.06 = 77,474.04/x
  3. Step 3: Cross multiply
    142,008.63x = 195,965.06 × 77,474.04
  4. Step 4: Simplify right side
    142,008.63x = 15,182,204,509.67
  5. Step 5: Solve for x
    x = 15,182,204,509.67/142,008.63
  6. Step 6: Final answer
    x = 106,910.44

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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.