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Finding the Fourth Proportional to 259,602.80, 389,172.74 and 139,724.15

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Solution

The fourth proportional to 259,602.80, 389,172.74 and 139,724.15 is: 209,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,602.80 : 389,172.74 = 139,724.15 : x
  2. Step 2: Convert to fraction form
    259,602.80/389,172.74 = 139,724.15/x
  3. Step 3: Cross multiply
    259,602.80x = 389,172.74 × 139,724.15
  4. Step 4: Simplify right side
    259,602.80x = 54,376,827,655.19
  5. Step 5: Solve for x
    x = 54,376,827,655.19/259,602.80
  6. Step 6: Final answer
    x = 209,461.64

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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.