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Finding the Fourth Proportional to 210,122, 289,968.36 and 134,670.50

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Solution

The fourth proportional to 210,122, 289,968.36 and 134,670.50 is: 185,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,122 : 289,968.36 = 134,670.50 : x
  2. Step 2: Convert to fraction form
    210,122/289,968.36 = 134,670.50/x
  3. Step 3: Cross multiply
    210,122x = 289,968.36 × 134,670.50
  4. Step 4: Simplify right side
    210,122x = 39,050,184,025.38
  5. Step 5: Solve for x
    x = 39,050,184,025.38/210,122
  6. Step 6: Final answer
    x = 185,845.29

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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.