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Finding the Fourth Proportional to 210,055.57, 289,826.91 and 119,404.42

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Solution

The fourth proportional to 210,055.57, 289,826.91 and 119,404.42 is: 164,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,055.57 : 289,826.91 = 119,404.42 : x
  2. Step 2: Convert to fraction form
    210,055.57/289,826.91 = 119,404.42/x
  3. Step 3: Cross multiply
    210,055.57x = 289,826.91 × 119,404.42
  4. Step 4: Simplify right side
    210,055.57x = 34,606,613,364.37
  5. Step 5: Solve for x
    x = 34,606,613,364.37/210,055.57
  6. Step 6: Final answer
    x = 164,749.80

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1.5x scale

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.