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Finding the Fourth Proportional to 210,480.66, 315,731.93 and 105,264.09

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Solution

The fourth proportional to 210,480.66, 315,731.93 and 105,264.09 is: 157,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,480.66 : 315,731.93 = 105,264.09 : x
  2. Step 2: Convert to fraction form
    210,480.66/315,731.93 = 105,264.09/x
  3. Step 3: Cross multiply
    210,480.66x = 315,731.93 × 105,264.09
  4. Step 4: Simplify right side
    210,480.66x = 33,235,233,769.07
  5. Step 5: Solve for x
    x = 33,235,233,769.07/210,480.66
  6. Step 6: Final answer
    x = 157,901.60

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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.