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Finding the Fourth Proportional to 210,215.50, 290,103.54 and 114,728.32

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Solution

The fourth proportional to 210,215.50, 290,103.54 and 114,728.32 is: 158,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,215.50 : 290,103.54 = 114,728.32 : x
  2. Step 2: Convert to fraction form
    210,215.50/290,103.54 = 114,728.32/x
  3. Step 3: Cross multiply
    210,215.50x = 290,103.54 × 114,728.32
  4. Step 4: Simplify right side
    210,215.50x = 33,283,091,770.25
  5. Step 5: Solve for x
    x = 33,283,091,770.25/210,215.50
  6. Step 6: Final answer
    x = 158,328.44

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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.