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Finding the Fourth Proportional to 101,137.78, 151,656.75 and 31,000.18

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Solution

The fourth proportional to 101,137.78, 151,656.75 and 31,000.18 is: 46,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,137.78 : 151,656.75 = 31,000.18 : x
  2. Step 2: Convert to fraction form
    101,137.78/151,656.75 = 31,000.18/x
  3. Step 3: Cross multiply
    101,137.78x = 151,656.75 × 31,000.18
  4. Step 4: Simplify right side
    101,137.78x = 4,701,386,548.22
  5. Step 5: Solve for x
    x = 4,701,386,548.22/101,137.78
  6. Step 6: Final answer
    x = 46,484.97

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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.