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Finding the Fourth Proportional to 209,031, 313,598.58 and 61,287

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Solution

The fourth proportional to 209,031, 313,598.58 and 61,287 is: 91,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,031 : 313,598.58 = 61,287 : x
  2. Step 2: Convert to fraction form
    209,031/313,598.58 = 61,287/x
  3. Step 3: Cross multiply
    209,031x = 313,598.58 × 61,287
  4. Step 4: Simplify right side
    209,031x = 19,219,516,172.46
  5. Step 5: Solve for x
    x = 19,219,516,172.46/209,031
  6. Step 6: Final answer
    x = 91,945.77

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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.