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Finding the Fourth Proportional to 210,256.35, 290,149.14 and 114,764.64

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Solution

The fourth proportional to 210,256.35, 290,149.14 and 114,764.64 is: 158,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,256.35 : 290,149.14 = 114,764.64 : x
  2. Step 2: Convert to fraction form
    210,256.35/290,149.14 = 114,764.64/x
  3. Step 3: Cross multiply
    210,256.35x = 290,149.14 × 114,764.64
  4. Step 4: Simplify right side
    210,256.35x = 33,298,861,598.41
  5. Step 5: Solve for x
    x = 33,298,861,598.41/210,256.35
  6. Step 6: Final answer
    x = 158,372.68

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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.