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Finding the Fourth Proportional to 102,574.80, 153,846.81 and 32,445

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Solution

The fourth proportional to 102,574.80, 153,846.81 and 32,445 is: 48,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.80 : 153,846.81 = 32,445 : x
  2. Step 2: Convert to fraction form
    102,574.80/153,846.81 = 32,445/x
  3. Step 3: Cross multiply
    102,574.80x = 153,846.81 × 32,445
  4. Step 4: Simplify right side
    102,574.80x = 4,991,559,750.45
  5. Step 5: Solve for x
    x = 4,991,559,750.45/102,574.80
  6. Step 6: Final answer
    x = 48,662.63

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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.