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Finding the Fourth Proportional to 145,926.42, 201,378.46 and 78,858.42

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Solution

The fourth proportional to 145,926.42, 201,378.46 and 78,858.42 is: 108,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,926.42 : 201,378.46 = 78,858.42 : x
  2. Step 2: Convert to fraction form
    145,926.42/201,378.46 = 78,858.42/x
  3. Step 3: Cross multiply
    145,926.42x = 201,378.46 × 78,858.42
  4. Step 4: Simplify right side
    145,926.42x = 15,880,387,177.63
  5. Step 5: Solve for x
    x = 15,880,387,177.63/145,926.42
  6. Step 6: Final answer
    x = 108,824.62

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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.