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Finding the Fourth Proportional to 84,861, 127,291.50 and 29,457

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Solution

The fourth proportional to 84,861, 127,291.50 and 29,457 is: 44,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,861 : 127,291.50 = 29,457 : x
  2. Step 2: Convert to fraction form
    84,861/127,291.50 = 29,457/x
  3. Step 3: Cross multiply
    84,861x = 127,291.50 × 29,457
  4. Step 4: Simplify right side
    84,861x = 3,749,625,715.50
  5. Step 5: Solve for x
    x = 3,749,625,715.50/84,861
  6. Step 6: Final answer
    x = 44,185.50

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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.