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Finding the Fourth Proportional to 210,185.80, 314,760.30 and 139,683.40

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Solution

The fourth proportional to 210,185.80, 314,760.30 and 139,683.40 is: 209,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,185.80 : 314,760.30 = 139,683.40 : x
  2. Step 2: Convert to fraction form
    210,185.80/314,760.30 = 139,683.40/x
  3. Step 3: Cross multiply
    210,185.80x = 314,760.30 × 139,683.40
  4. Step 4: Simplify right side
    210,185.80x = 43,966,788,889.02
  5. Step 5: Solve for x
    x = 43,966,788,889.02/210,185.80
  6. Step 6: Final answer
    x = 209,180.59

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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.