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Finding the Fourth Proportional to 139,116.80, 208,726.40 and 56,019.20

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Solution

The fourth proportional to 139,116.80, 208,726.40 and 56,019.20 is: 84,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,116.80 : 208,726.40 = 56,019.20 : x
  2. Step 2: Convert to fraction form
    139,116.80/208,726.40 = 56,019.20/x
  3. Step 3: Cross multiply
    139,116.80x = 208,726.40 × 56,019.20
  4. Step 4: Simplify right side
    139,116.80x = 11,692,685,946.88
  5. Step 5: Solve for x
    x = 11,692,685,946.88/139,116.80
  6. Step 6: Final answer
    x = 84,049.42

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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.