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Finding the Fourth Proportional to 119,142.90, 178,741.08 and 55,068.66

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Solution

The fourth proportional to 119,142.90, 178,741.08 and 55,068.66 is: 82,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,142.90 : 178,741.08 = 55,068.66 : x
  2. Step 2: Convert to fraction form
    119,142.90/178,741.08 = 55,068.66/x
  3. Step 3: Cross multiply
    119,142.90x = 178,741.08 × 55,068.66
  4. Step 4: Simplify right side
    119,142.90x = 9,843,031,762.55
  5. Step 5: Solve for x
    x = 9,843,031,762.55/119,142.90
  6. Step 6: Final answer
    x = 82,615.34

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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.