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Finding the Fourth Proportional to 210,874.32, 291,005.92 and 114,078.15

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Solution

The fourth proportional to 210,874.32, 291,005.92 and 114,078.15 is: 157,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,874.32 : 291,005.92 = 114,078.15 : x
  2. Step 2: Convert to fraction form
    210,874.32/291,005.92 = 114,078.15/x
  3. Step 3: Cross multiply
    210,874.32x = 291,005.92 × 114,078.15
  4. Step 4: Simplify right side
    210,874.32x = 33,197,416,992.65
  5. Step 5: Solve for x
    x = 33,197,416,992.65/210,874.32
  6. Step 6: Final answer
    x = 157,427.50

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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.