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Finding the Fourth Proportional to 149,346.51, 223,978.76 and 54,559.20

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Solution

The fourth proportional to 149,346.51, 223,978.76 and 54,559.20 is: 81,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,346.51 : 223,978.76 = 54,559.20 : x
  2. Step 2: Convert to fraction form
    149,346.51/223,978.76 = 54,559.20/x
  3. Step 3: Cross multiply
    149,346.51x = 223,978.76 × 54,559.20
  4. Step 4: Simplify right side
    149,346.51x = 12,220,101,962.59
  5. Step 5: Solve for x
    x = 12,220,101,962.59/149,346.51
  6. Step 6: Final answer
    x = 81,823.82

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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.