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Finding the Fourth Proportional to 153,670.10, 230,505.15 and 142,735.10

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Solution

The fourth proportional to 153,670.10, 230,505.15 and 142,735.10 is: 214,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,670.10 : 230,505.15 = 142,735.10 : x
  2. Step 2: Convert to fraction form
    153,670.10/230,505.15 = 142,735.10/x
  3. Step 3: Cross multiply
    153,670.10x = 230,505.15 × 142,735.10
  4. Step 4: Simplify right side
    153,670.10x = 32,901,175,635.77
  5. Step 5: Solve for x
    x = 32,901,175,635.77/153,670.10
  6. Step 6: Final answer
    x = 214,102.65

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1.5x scale

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.