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Finding the Fourth Proportional to 86,866, 130,078.46 and 72,789

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Solution

The fourth proportional to 86,866, 130,078.46 and 72,789 is: 108,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,866 : 130,078.46 = 72,789 : x
  2. Step 2: Convert to fraction form
    86,866/130,078.46 = 72,789/x
  3. Step 3: Cross multiply
    86,866x = 130,078.46 × 72,789
  4. Step 4: Simplify right side
    86,866x = 9,468,281,024.94
  5. Step 5: Solve for x
    x = 9,468,281,024.94/86,866
  6. Step 6: Final answer
    x = 108,998.70

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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.