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Finding the Fourth Proportional to 142,973.44, 214,531.68 and 64,144

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Solution

The fourth proportional to 142,973.44, 214,531.68 and 64,144 is: 96,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,973.44 : 214,531.68 = 64,144 : x
  2. Step 2: Convert to fraction form
    142,973.44/214,531.68 = 64,144/x
  3. Step 3: Cross multiply
    142,973.44x = 214,531.68 × 64,144
  4. Step 4: Simplify right side
    142,973.44x = 13,760,920,081.92
  5. Step 5: Solve for x
    x = 13,760,920,081.92/142,973.44
  6. Step 6: Final answer
    x = 96,248.09

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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.