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Finding the Fourth Proportional to 210,523.42, 290,524.35 and 115,030.11

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Solution

The fourth proportional to 210,523.42, 290,524.35 and 115,030.11 is: 158,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,523.42 : 290,524.35 = 115,030.11 : x
  2. Step 2: Convert to fraction form
    210,523.42/290,524.35 = 115,030.11/x
  3. Step 3: Cross multiply
    210,523.42x = 290,524.35 × 115,030.11
  4. Step 4: Simplify right side
    210,523.42x = 33,419,047,938.18
  5. Step 5: Solve for x
    x = 33,419,047,938.18/210,523.42
  6. Step 6: Final answer
    x = 158,742.66

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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.