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Finding the Fourth Proportional to 91,314, 136,971.05 and 28,984.50

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Solution

The fourth proportional to 91,314, 136,971.05 and 28,984.50 is: 43,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,314 : 136,971.05 = 28,984.50 : x
  2. Step 2: Convert to fraction form
    91,314/136,971.05 = 28,984.50/x
  3. Step 3: Cross multiply
    91,314x = 136,971.05 × 28,984.50
  4. Step 4: Simplify right side
    91,314x = 3,970,037,253.80
  5. Step 5: Solve for x
    x = 3,970,037,253.80/91,314
  6. Step 6: Final answer
    x = 43,476.76

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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.