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Finding the Fourth Proportional to 210,005.70, 289,782.81 and 119,328.90

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Solution

The fourth proportional to 210,005.70, 289,782.81 and 119,328.90 is: 164,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.70 : 289,782.81 = 119,328.90 : x
  2. Step 2: Convert to fraction form
    210,005.70/289,782.81 = 119,328.90/x
  3. Step 3: Cross multiply
    210,005.70x = 289,782.81 × 119,328.90
  4. Step 4: Simplify right side
    210,005.70x = 34,579,463,956.21
  5. Step 5: Solve for x
    x = 34,579,463,956.21/210,005.70
  6. Step 6: Final answer
    x = 164,659.64

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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.