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Finding the Fourth Proportional to 149,368, 206,140.80 and 82,312.96

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Solution

The fourth proportional to 149,368, 206,140.80 and 82,312.96 is: 113,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,368 : 206,140.80 = 82,312.96 : x
  2. Step 2: Convert to fraction form
    149,368/206,140.80 = 82,312.96/x
  3. Step 3: Cross multiply
    149,368x = 206,140.80 × 82,312.96
  4. Step 4: Simplify right side
    149,368x = 16,968,059,424.77
  5. Step 5: Solve for x
    x = 16,968,059,424.77/149,368
  6. Step 6: Final answer
    x = 113,599.03

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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.