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Finding the Fourth Proportional to 119,166.87, 178,751.93 and 30,421.11

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Solution

The fourth proportional to 119,166.87, 178,751.93 and 30,421.11 is: 45,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166.87 : 178,751.93 = 30,421.11 : x
  2. Step 2: Convert to fraction form
    119,166.87/178,751.93 = 30,421.11/x
  3. Step 3: Cross multiply
    119,166.87x = 178,751.93 × 30,421.11
  4. Step 4: Simplify right side
    119,166.87x = 5,437,831,973.14
  5. Step 5: Solve for x
    x = 5,437,831,973.14/119,166.87
  6. Step 6: Final answer
    x = 45,632.08

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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.