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Finding the Fourth Proportional to 147,756.80, 221,408.40 and 110,140.40

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Solution

The fourth proportional to 147,756.80, 221,408.40 and 110,140.40 is: 165,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,756.80 : 221,408.40 = 110,140.40 : x
  2. Step 2: Convert to fraction form
    147,756.80/221,408.40 = 110,140.40/x
  3. Step 3: Cross multiply
    147,756.80x = 221,408.40 × 110,140.40
  4. Step 4: Simplify right side
    147,756.80x = 24,386,009,739.36
  5. Step 5: Solve for x
    x = 24,386,009,739.36/147,756.80
  6. Step 6: Final answer
    x = 165,041.54

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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.