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Finding the Fourth Proportional to 205,712.58, 308,457.92 and 93,331.47

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Solution

The fourth proportional to 205,712.58, 308,457.92 and 93,331.47 is: 139,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712.58 : 308,457.92 = 93,331.47 : x
  2. Step 2: Convert to fraction form
    205,712.58/308,457.92 = 93,331.47/x
  3. Step 3: Cross multiply
    205,712.58x = 308,457.92 × 93,331.47
  4. Step 4: Simplify right side
    205,712.58x = 28,788,830,640.09
  5. Step 5: Solve for x
    x = 28,788,830,640.09/205,712.58
  6. Step 6: Final answer
    x = 139,946.86

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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.