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Finding the Fourth Proportional to 86,896, 119,916.48 and 47,152

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Solution

The fourth proportional to 86,896, 119,916.48 and 47,152 is: 65,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896 : 119,916.48 = 47,152 : x
  2. Step 2: Convert to fraction form
    86,896/119,916.48 = 47,152/x
  3. Step 3: Cross multiply
    86,896x = 119,916.48 × 47,152
  4. Step 4: Simplify right side
    86,896x = 5,654,301,864.96
  5. Step 5: Solve for x
    x = 5,654,301,864.96/86,896
  6. Step 6: Final answer
    x = 65,069.76

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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.