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Finding the Fourth Proportional to 210,104, 314,805.12 and 147,662.72

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Solution

The fourth proportional to 210,104, 314,805.12 and 147,662.72 is: 221,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,104 : 314,805.12 = 147,662.72 : x
  2. Step 2: Convert to fraction form
    210,104/314,805.12 = 147,662.72/x
  3. Step 3: Cross multiply
    210,104x = 314,805.12 × 147,662.72
  4. Step 4: Simplify right side
    210,104x = 46,484,980,289.13
  5. Step 5: Solve for x
    x = 46,484,980,289.13/210,104
  6. Step 6: Final answer
    x = 221,247.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.