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Finding the Fourth Proportional to 210,030.26, 289,849.03 and 119,390.02

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Solution

The fourth proportional to 210,030.26, 289,849.03 and 119,390.02 is: 164,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,030.26 : 289,849.03 = 119,390.02 : x
  2. Step 2: Convert to fraction form
    210,030.26/289,849.03 = 119,390.02/x
  3. Step 3: Cross multiply
    210,030.26x = 289,849.03 × 119,390.02
  4. Step 4: Simplify right side
    210,030.26x = 34,605,081,488.68
  5. Step 5: Solve for x
    x = 34,605,081,488.68/210,030.26
  6. Step 6: Final answer
    x = 164,762.36

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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.