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Finding the Fourth Proportional to 210,138.95, 290,014.10 and 128,514.95

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Solution

The fourth proportional to 210,138.95, 290,014.10 and 128,514.95 is: 177,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,138.95 : 290,014.10 = 128,514.95 : x
  2. Step 2: Convert to fraction form
    210,138.95/290,014.10 = 128,514.95/x
  3. Step 3: Cross multiply
    210,138.95x = 290,014.10 × 128,514.95
  4. Step 4: Simplify right side
    210,138.95x = 37,271,145,468.15
  5. Step 5: Solve for x
    x = 37,271,145,468.15/210,138.95
  6. Step 6: Final answer
    x = 177,364.29

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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.