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Finding the Fourth Proportional to 210,228.20, 290,115.72 and 114,737

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Solution

The fourth proportional to 210,228.20, 290,115.72 and 114,737 is: 158,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228.20 : 290,115.72 = 114,737 : x
  2. Step 2: Convert to fraction form
    210,228.20/290,115.72 = 114,737/x
  3. Step 3: Cross multiply
    210,228.20x = 290,115.72 × 114,737
  4. Step 4: Simplify right side
    210,228.20x = 33,287,007,365.64
  5. Step 5: Solve for x
    x = 33,287,007,365.64/210,228.20
  6. Step 6: Final answer
    x = 158,337.50

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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.