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Finding the Fourth Proportional to 210,301.64, 290,212.40 and 119,655.60

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Solution

The fourth proportional to 210,301.64, 290,212.40 and 119,655.60 is: 165,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301.64 : 290,212.40 = 119,655.60 : x
  2. Step 2: Convert to fraction form
    210,301.64/290,212.40 = 119,655.60/x
  3. Step 3: Cross multiply
    210,301.64x = 290,212.40 × 119,655.60
  4. Step 4: Simplify right side
    210,301.64x = 34,725,538,849.44
  5. Step 5: Solve for x
    x = 34,725,538,849.44/210,301.64
  6. Step 6: Final answer
    x = 165,122.53

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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.