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Finding the Fourth Proportional to 210,046.19, 289,813.89 and 119,395.01

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Solution

The fourth proportional to 210,046.19, 289,813.89 and 119,395.01 is: 164,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,046.19 : 289,813.89 = 119,395.01 : x
  2. Step 2: Convert to fraction form
    210,046.19/289,813.89 = 119,395.01/x
  3. Step 3: Cross multiply
    210,046.19x = 289,813.89 × 119,395.01
  4. Step 4: Simplify right side
    210,046.19x = 34,602,330,845.62
  5. Step 5: Solve for x
    x = 34,602,330,845.62/210,046.19
  6. Step 6: Final answer
    x = 164,736.77

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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.