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Finding the Fourth Proportional to 208,021.30, 312,139.95 and 97,213.30

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Solution

The fourth proportional to 208,021.30, 312,139.95 and 97,213.30 is: 145,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,021.30 : 312,139.95 = 97,213.30 : x
  2. Step 2: Convert to fraction form
    208,021.30/312,139.95 = 97,213.30/x
  3. Step 3: Cross multiply
    208,021.30x = 312,139.95 × 97,213.30
  4. Step 4: Simplify right side
    208,021.30x = 30,344,154,601.34
  5. Step 5: Solve for x
    x = 30,344,154,601.34/208,021.30
  6. Step 6: Final answer
    x = 145,870.42

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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.