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Finding the Fourth Proportional to 210,181.50, 290,050.47 and 134,730

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Solution

The fourth proportional to 210,181.50, 290,050.47 and 134,730 is: 185,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,181.50 : 290,050.47 = 134,730 : x
  2. Step 2: Convert to fraction form
    210,181.50/290,050.47 = 134,730/x
  3. Step 3: Cross multiply
    210,181.50x = 290,050.47 × 134,730
  4. Step 4: Simplify right side
    210,181.50x = 39,078,499,823.10
  5. Step 5: Solve for x
    x = 39,078,499,823.10/210,181.50
  6. Step 6: Final answer
    x = 185,927.40

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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.