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Finding the Fourth Proportional to 153,858.34, 212,324.70 and 84,947.86

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Solution

The fourth proportional to 153,858.34, 212,324.70 and 84,947.86 is: 117,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,858.34 : 212,324.70 = 84,947.86 : x
  2. Step 2: Convert to fraction form
    153,858.34/212,324.70 = 84,947.86/x
  3. Step 3: Cross multiply
    153,858.34x = 212,324.70 × 84,947.86
  4. Step 4: Simplify right side
    153,858.34x = 18,036,528,890.14
  5. Step 5: Solve for x
    x = 18,036,528,890.14/153,858.34
  6. Step 6: Final answer
    x = 117,228.15

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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.