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Finding the Fourth Proportional to 77,497, 116,245.50 and 19,129

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Solution

The fourth proportional to 77,497, 116,245.50 and 19,129 is: 28,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497 : 116,245.50 = 19,129 : x
  2. Step 2: Convert to fraction form
    77,497/116,245.50 = 19,129/x
  3. Step 3: Cross multiply
    77,497x = 116,245.50 × 19,129
  4. Step 4: Simplify right side
    77,497x = 2,223,660,169.50
  5. Step 5: Solve for x
    x = 2,223,660,169.50/77,497
  6. Step 6: Final answer
    x = 28,693.50

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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.