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Finding the Fourth Proportional to 145,482.60, 200,751.80 and 81,819.03

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Solution

The fourth proportional to 145,482.60, 200,751.80 and 81,819.03 is: 112,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,482.60 : 200,751.80 = 81,819.03 : x
  2. Step 2: Convert to fraction form
    145,482.60/200,751.80 = 81,819.03/x
  3. Step 3: Cross multiply
    145,482.60x = 200,751.80 × 81,819.03
  4. Step 4: Simplify right side
    145,482.60x = 16,425,317,137.66
  5. Step 5: Solve for x
    x = 16,425,317,137.66/145,482.60
  6. Step 6: Final answer
    x = 112,902.28

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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.