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Finding the Fourth Proportional to 84,300, 126,457.29 and 21,970.50

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Solution

The fourth proportional to 84,300, 126,457.29 and 21,970.50 is: 32,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,300 : 126,457.29 = 21,970.50 : x
  2. Step 2: Convert to fraction form
    84,300/126,457.29 = 21,970.50/x
  3. Step 3: Cross multiply
    84,300x = 126,457.29 × 21,970.50
  4. Step 4: Simplify right side
    84,300x = 2,778,329,889.95
  5. Step 5: Solve for x
    x = 2,778,329,889.95/84,300
  6. Step 6: Final answer
    x = 32,957.65

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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.