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Finding the Fourth Proportional to 101,391, 151,984.44 and 42,259.40

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Solution

The fourth proportional to 101,391, 151,984.44 and 42,259.40 is: 63,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,391 : 151,984.44 = 42,259.40 : x
  2. Step 2: Convert to fraction form
    101,391/151,984.44 = 42,259.40/x
  3. Step 3: Cross multiply
    101,391x = 151,984.44 × 42,259.40
  4. Step 4: Simplify right side
    101,391x = 6,422,771,243.74
  5. Step 5: Solve for x
    x = 6,422,771,243.74/101,391
  6. Step 6: Final answer
    x = 63,346.56

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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.