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Finding the Fourth Proportional to 142,782.80, 213,985.20 and 76,079.30

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Solution

The fourth proportional to 142,782.80, 213,985.20 and 76,079.30 is: 114,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.80 : 213,985.20 = 76,079.30 : x
  2. Step 2: Convert to fraction form
    142,782.80/213,985.20 = 76,079.30/x
  3. Step 3: Cross multiply
    142,782.80x = 213,985.20 × 76,079.30
  4. Step 4: Simplify right side
    142,782.80x = 16,279,844,226.36
  5. Step 5: Solve for x
    x = 16,279,844,226.36/142,782.80
  6. Step 6: Final answer
    x = 114,018.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.