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Finding the Fourth Proportional to 213,429.94, 294,582.42 and 122,838.22

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Solution

The fourth proportional to 213,429.94, 294,582.42 and 122,838.22 is: 169,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,429.94 : 294,582.42 = 122,838.22 : x
  2. Step 2: Convert to fraction form
    213,429.94/294,582.42 = 122,838.22/x
  3. Step 3: Cross multiply
    213,429.94x = 294,582.42 × 122,838.22
  4. Step 4: Simplify right side
    213,429.94x = 36,185,980,484.32
  5. Step 5: Solve for x
    x = 36,185,980,484.32/213,429.94
  6. Step 6: Final answer
    x = 169,545.01

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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.