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Finding the Fourth Proportional to 86,769, 130,153.68 and 21,105

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Solution

The fourth proportional to 86,769, 130,153.68 and 21,105 is: 31,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,769 : 130,153.68 = 21,105 : x
  2. Step 2: Convert to fraction form
    86,769/130,153.68 = 21,105/x
  3. Step 3: Cross multiply
    86,769x = 130,153.68 × 21,105
  4. Step 4: Simplify right side
    86,769x = 2,746,893,416.40
  5. Step 5: Solve for x
    x = 2,746,893,416.40/86,769
  6. Step 6: Final answer
    x = 31,657.54

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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.