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Finding the Fourth Proportional to 239,585.70, 359,428.14 and 97,431

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Solution

The fourth proportional to 239,585.70, 359,428.14 and 97,431 is: 146,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,585.70 : 359,428.14 = 97,431 : x
  2. Step 2: Convert to fraction form
    239,585.70/359,428.14 = 97,431/x
  3. Step 3: Cross multiply
    239,585.70x = 359,428.14 × 97,431
  4. Step 4: Simplify right side
    239,585.70x = 35,019,443,108.34
  5. Step 5: Solve for x
    x = 35,019,443,108.34/239,585.70
  6. Step 6: Final answer
    x = 146,166.67

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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.