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Finding the Fourth Proportional to 100,700.72, 151,041.27 and 30,580.64

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Solution

The fourth proportional to 100,700.72, 151,041.27 and 30,580.64 is: 45,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.72 : 151,041.27 = 30,580.64 : x
  2. Step 2: Convert to fraction form
    100,700.72/151,041.27 = 30,580.64/x
  3. Step 3: Cross multiply
    100,700.72x = 151,041.27 × 30,580.64
  4. Step 4: Simplify right side
    100,700.72x = 4,618,938,703.01
  5. Step 5: Solve for x
    x = 4,618,938,703.01/100,700.72
  6. Step 6: Final answer
    x = 45,867.98

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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.