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Finding the Fourth Proportional to 103,497.60, 155,112.36 and 43,458

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Solution

The fourth proportional to 103,497.60, 155,112.36 and 43,458 is: 65,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,497.60 : 155,112.36 = 43,458 : x
  2. Step 2: Convert to fraction form
    103,497.60/155,112.36 = 43,458/x
  3. Step 3: Cross multiply
    103,497.60x = 155,112.36 × 43,458
  4. Step 4: Simplify right side
    103,497.60x = 6,740,872,940.88
  5. Step 5: Solve for x
    x = 6,740,872,940.88/103,497.60
  6. Step 6: Final answer
    x = 65,130.72

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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.