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Finding the Fourth Proportional to 189,289.42, 283,851 and 70,877.72

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Solution

The fourth proportional to 189,289.42, 283,851 and 70,877.72 is: 106,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,289.42 : 283,851 = 70,877.72 : x
  2. Step 2: Convert to fraction form
    189,289.42/283,851 = 70,877.72/x
  3. Step 3: Cross multiply
    189,289.42x = 283,851 × 70,877.72
  4. Step 4: Simplify right side
    189,289.42x = 20,118,711,699.72
  5. Step 5: Solve for x
    x = 20,118,711,699.72/189,289.42
  6. Step 6: Final answer
    x = 106,285.45

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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.