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Finding the Fourth Proportional to 210,228.70, 290,116.41 and 114,737.50

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Solution

The fourth proportional to 210,228.70, 290,116.41 and 114,737.50 is: 158,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228.70 : 290,116.41 = 114,737.50 : x
  2. Step 2: Convert to fraction form
    210,228.70/290,116.41 = 114,737.50/x
  3. Step 3: Cross multiply
    210,228.70x = 290,116.41 × 114,737.50
  4. Step 4: Simplify right side
    210,228.70x = 33,287,231,592.38
  5. Step 5: Solve for x
    x = 33,287,231,592.38/210,228.70
  6. Step 6: Final answer
    x = 158,338.19

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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.