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Finding the Fourth Proportional to 154,348.48, 212,880.72 and 103,345

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Solution

The fourth proportional to 154,348.48, 212,880.72 and 103,345 is: 142,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,348.48 : 212,880.72 = 103,345 : x
  2. Step 2: Convert to fraction form
    154,348.48/212,880.72 = 103,345/x
  3. Step 3: Cross multiply
    154,348.48x = 212,880.72 × 103,345
  4. Step 4: Simplify right side
    154,348.48x = 22,000,158,008.40
  5. Step 5: Solve for x
    x = 22,000,158,008.40/154,348.48
  6. Step 6: Final answer
    x = 142,535.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.