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Finding the Fourth Proportional to 77,341, 116,011.50 and 18,973

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Solution

The fourth proportional to 77,341, 116,011.50 and 18,973 is: 28,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,341 : 116,011.50 = 18,973 : x
  2. Step 2: Convert to fraction form
    77,341/116,011.50 = 18,973/x
  3. Step 3: Cross multiply
    77,341x = 116,011.50 × 18,973
  4. Step 4: Simplify right side
    77,341x = 2,201,086,189.50
  5. Step 5: Solve for x
    x = 2,201,086,189.50/77,341
  6. Step 6: Final answer
    x = 28,459.50

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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.