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Finding the Fourth Proportional to 301,507.53, 452,326.91 and 91,140

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Solution

The fourth proportional to 301,507.53, 452,326.91 and 91,140 is: 136,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,507.53 : 452,326.91 = 91,140 : x
  2. Step 2: Convert to fraction form
    301,507.53/452,326.91 = 91,140/x
  3. Step 3: Cross multiply
    301,507.53x = 452,326.91 × 91,140
  4. Step 4: Simplify right side
    301,507.53x = 41,225,074,121.70
  5. Step 5: Solve for x
    x = 41,225,074,121.70/301,507.53
  6. Step 6: Final answer
    x = 136,729.83

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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.