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Finding the Fourth Proportional to 210,182, 290,050.12 and 114,688.40

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Solution

The fourth proportional to 210,182, 290,050.12 and 114,688.40 is: 158,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,182 : 290,050.12 = 114,688.40 : x
  2. Step 2: Convert to fraction form
    210,182/290,050.12 = 114,688.40/x
  3. Step 3: Cross multiply
    210,182x = 290,050.12 × 114,688.40
  4. Step 4: Simplify right side
    210,182x = 33,265,384,182.61
  5. Step 5: Solve for x
    x = 33,265,384,182.61/210,182
  6. Step 6: Final answer
    x = 158,269.42

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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.