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Finding the Fourth Proportional to 230,978.20, 346,423.56 and 97,862.80

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Solution

The fourth proportional to 230,978.20, 346,423.56 and 97,862.80 is: 146,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978.20 : 346,423.56 = 97,862.80 : x
  2. Step 2: Convert to fraction form
    230,978.20/346,423.56 = 97,862.80/x
  3. Step 3: Cross multiply
    230,978.20x = 346,423.56 × 97,862.80
  4. Step 4: Simplify right side
    230,978.20x = 33,901,979,567.57
  5. Step 5: Solve for x
    x = 33,901,979,567.57/230,978.20
  6. Step 6: Final answer
    x = 146,775.67

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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.