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Finding the Fourth Proportional to 201,212.16, 301,828.32 and 76,562.88

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Solution

The fourth proportional to 201,212.16, 301,828.32 and 76,562.88 is: 114,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.16 : 301,828.32 = 76,562.88 : x
  2. Step 2: Convert to fraction form
    201,212.16/301,828.32 = 76,562.88/x
  3. Step 3: Cross multiply
    201,212.16x = 301,828.32 × 76,562.88
  4. Step 4: Simplify right side
    201,212.16x = 23,108,845,444.76
  5. Step 5: Solve for x
    x = 23,108,845,444.76/201,212.16
  6. Step 6: Final answer
    x = 114,848.16

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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.