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Finding the Fourth Proportional to 119,368.30, 178,941.21 and 81,946

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Solution

The fourth proportional to 119,368.30, 178,941.21 and 81,946 is: 122,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,368.30 : 178,941.21 = 81,946 : x
  2. Step 2: Convert to fraction form
    119,368.30/178,941.21 = 81,946/x
  3. Step 3: Cross multiply
    119,368.30x = 178,941.21 × 81,946
  4. Step 4: Simplify right side
    119,368.30x = 14,663,516,394.66
  5. Step 5: Solve for x
    x = 14,663,516,394.66/119,368.30
  6. Step 6: Final answer
    x = 122,842.63

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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.