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Finding the Fourth Proportional to 142,997.76, 214,567.68 and 64,167.68

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Solution

The fourth proportional to 142,997.76, 214,567.68 and 64,167.68 is: 96,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,997.76 : 214,567.68 = 64,167.68 : x
  2. Step 2: Convert to fraction form
    142,997.76/214,567.68 = 64,167.68/x
  3. Step 3: Cross multiply
    142,997.76x = 214,567.68 × 64,167.68
  4. Step 4: Simplify right side
    142,997.76x = 13,768,310,228.58
  5. Step 5: Solve for x
    x = 13,768,310,228.58/142,997.76
  6. Step 6: Final answer
    x = 96,283.40

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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.