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Finding the Fourth Proportional to 207,941.30, 312,019.95 and 97,133.30

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Solution

The fourth proportional to 207,941.30, 312,019.95 and 97,133.30 is: 145,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,941.30 : 312,019.95 = 97,133.30 : x
  2. Step 2: Convert to fraction form
    207,941.30/312,019.95 = 97,133.30/x
  3. Step 3: Cross multiply
    207,941.30x = 312,019.95 × 97,133.30
  4. Step 4: Simplify right side
    207,941.30x = 30,307,527,409.34
  5. Step 5: Solve for x
    x = 30,307,527,409.34/207,941.30
  6. Step 6: Final answer
    x = 145,750.40

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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.