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Finding the Fourth Proportional to 96,146.64, 144,064.44 and 78,624.72

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Solution

The fourth proportional to 96,146.64, 144,064.44 and 78,624.72 is: 117,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,146.64 : 144,064.44 = 78,624.72 : x
  2. Step 2: Convert to fraction form
    96,146.64/144,064.44 = 78,624.72/x
  3. Step 3: Cross multiply
    96,146.64x = 144,064.44 × 78,624.72
  4. Step 4: Simplify right side
    96,146.64x = 11,327,026,256.96
  5. Step 5: Solve for x
    x = 11,327,026,256.96/96,146.64
  6. Step 6: Final answer
    x = 117,809.90

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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.