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Finding the Fourth Proportional to 210,183, 290,051.50 and 114,689.40

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Solution

The fourth proportional to 210,183, 290,051.50 and 114,689.40 is: 158,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,183 : 290,051.50 = 114,689.40 : x
  2. Step 2: Convert to fraction form
    210,183/290,051.50 = 114,689.40/x
  3. Step 3: Cross multiply
    210,183x = 290,051.50 × 114,689.40
  4. Step 4: Simplify right side
    210,183x = 33,265,832,504.10
  5. Step 5: Solve for x
    x = 33,265,832,504.10/210,183
  6. Step 6: Final answer
    x = 158,270.80

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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.