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Finding the Fourth Proportional to 207,942.30, 312,021.45 and 97,134.30

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Solution

The fourth proportional to 207,942.30, 312,021.45 and 97,134.30 is: 145,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,942.30 : 312,021.45 = 97,134.30 : x
  2. Step 2: Convert to fraction form
    207,942.30/312,021.45 = 97,134.30/x
  3. Step 3: Cross multiply
    207,942.30x = 312,021.45 × 97,134.30
  4. Step 4: Simplify right side
    207,942.30x = 30,307,985,130.74
  5. Step 5: Solve for x
    x = 30,307,985,130.74/207,942.30
  6. Step 6: Final answer
    x = 145,751.90

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1.5x scale

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.