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Finding the Fourth Proportional to 213,570, 294,748.32 and 122,929.76

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Solution

The fourth proportional to 213,570, 294,748.32 and 122,929.76 is: 169,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,570 : 294,748.32 = 122,929.76 : x
  2. Step 2: Convert to fraction form
    213,570/294,748.32 = 122,929.76/x
  3. Step 3: Cross multiply
    213,570x = 294,748.32 × 122,929.76
  4. Step 4: Simplify right side
    213,570x = 36,233,340,238.00
  5. Step 5: Solve for x
    x = 36,233,340,238.00/213,570
  6. Step 6: Final answer
    x = 169,655.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.