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Finding the Fourth Proportional to 153,647, 230,494.25 and 52,421.36

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Solution

The fourth proportional to 153,647, 230,494.25 and 52,421.36 is: 78,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,647 : 230,494.25 = 52,421.36 : x
  2. Step 2: Convert to fraction form
    153,647/230,494.25 = 52,421.36/x
  3. Step 3: Cross multiply
    153,647x = 230,494.25 × 52,421.36
  4. Step 4: Simplify right side
    153,647x = 12,082,820,642.60
  5. Step 5: Solve for x
    x = 12,082,820,642.60/153,647
  6. Step 6: Final answer
    x = 78,640.13

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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.