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Finding the Fourth Proportional to 209,700, 314,243.28 and 130,573.44

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Solution

The fourth proportional to 209,700, 314,243.28 and 130,573.44 is: 195,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,700 : 314,243.28 = 130,573.44 : x
  2. Step 2: Convert to fraction form
    209,700/314,243.28 = 130,573.44/x
  3. Step 3: Cross multiply
    209,700x = 314,243.28 × 130,573.44
  4. Step 4: Simplify right side
    209,700x = 41,031,826,066.48
  5. Step 5: Solve for x
    x = 41,031,826,066.48/209,700
  6. Step 6: Final answer
    x = 195,669.18

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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.