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Finding the Fourth Proportional to 145,926, 201,377.88 and 78,858

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Solution

The fourth proportional to 145,926, 201,377.88 and 78,858 is: 108,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,926 : 201,377.88 = 78,858 : x
  2. Step 2: Convert to fraction form
    145,926/201,377.88 = 78,858/x
  3. Step 3: Cross multiply
    145,926x = 201,377.88 × 78,858
  4. Step 4: Simplify right side
    145,926x = 15,880,256,861.04
  5. Step 5: Solve for x
    x = 15,880,256,861.04/145,926
  6. Step 6: Final answer
    x = 108,824.04

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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.