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Finding the Fourth Proportional to 210,162, 290,023.59 and 134,710.68

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Solution

The fourth proportional to 210,162, 290,023.59 and 134,710.68 is: 185,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,162 : 290,023.59 = 134,710.68 : x
  2. Step 2: Convert to fraction form
    210,162/290,023.59 = 134,710.68/x
  3. Step 3: Cross multiply
    210,162x = 290,023.59 × 134,710.68
  4. Step 4: Simplify right side
    210,162x = 39,069,275,024.94
  5. Step 5: Solve for x
    x = 39,069,275,024.94/210,162
  6. Step 6: Final answer
    x = 185,900.76

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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.