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Finding the Fourth Proportional to 151,429.50, 208,977.03 and 84,365.82

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Solution

The fourth proportional to 151,429.50, 208,977.03 and 84,365.82 is: 116,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429.50 : 208,977.03 = 84,365.82 : x
  2. Step 2: Convert to fraction form
    151,429.50/208,977.03 = 84,365.82/x
  3. Step 3: Cross multiply
    151,429.50x = 208,977.03 × 84,365.82
  4. Step 4: Simplify right side
    151,429.50x = 17,630,518,497.11
  5. Step 5: Solve for x
    x = 17,630,518,497.11/151,429.50
  6. Step 6: Final answer
    x = 116,427.24

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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.