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Finding the Fourth Proportional to 214,590.92, 296,000.74 and 138,209

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Solution

The fourth proportional to 214,590.92, 296,000.74 and 138,209 is: 190,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,590.92 : 296,000.74 = 138,209 : x
  2. Step 2: Convert to fraction form
    214,590.92/296,000.74 = 138,209/x
  3. Step 3: Cross multiply
    214,590.92x = 296,000.74 × 138,209
  4. Step 4: Simplify right side
    214,590.92x = 40,909,966,274.66
  5. Step 5: Solve for x
    x = 40,909,966,274.66/214,590.92
  6. Step 6: Final answer
    x = 190,641.65

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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.