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Finding the Fourth Proportional to 153,493.36, 211,836 and 89,827.36

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Solution

The fourth proportional to 153,493.36, 211,836 and 89,827.36 is: 123,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,493.36 : 211,836 = 89,827.36 : x
  2. Step 2: Convert to fraction form
    153,493.36/211,836 = 89,827.36/x
  3. Step 3: Cross multiply
    153,493.36x = 211,836 × 89,827.36
  4. Step 4: Simplify right side
    153,493.36x = 19,028,668,632.96
  5. Step 5: Solve for x
    x = 19,028,668,632.96/153,493.36
  6. Step 6: Final answer
    x = 123,970.63

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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.