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Finding the Fourth Proportional to 147,830.40, 221,745.60 and 42,652.80

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Solution

The fourth proportional to 147,830.40, 221,745.60 and 42,652.80 is: 63,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,830.40 : 221,745.60 = 42,652.80 : x
  2. Step 2: Convert to fraction form
    147,830.40/221,745.60 = 42,652.80/x
  3. Step 3: Cross multiply
    147,830.40x = 221,745.60 × 42,652.80
  4. Step 4: Simplify right side
    147,830.40x = 9,458,070,727.68
  5. Step 5: Solve for x
    x = 9,458,070,727.68/147,830.40
  6. Step 6: Final answer
    x = 63,979.20

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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.