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Finding the Fourth Proportional to 137,628, 189,929.52 and 78,012

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Solution

The fourth proportional to 137,628, 189,929.52 and 78,012 is: 107,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,628 : 189,929.52 = 78,012 : x
  2. Step 2: Convert to fraction form
    137,628/189,929.52 = 78,012/x
  3. Step 3: Cross multiply
    137,628x = 189,929.52 × 78,012
  4. Step 4: Simplify right side
    137,628x = 14,816,781,714.24
  5. Step 5: Solve for x
    x = 14,816,781,714.24/137,628
  6. Step 6: Final answer
    x = 107,658.19

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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.