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Finding the Fourth Proportional to 223,284.76, 308,045.70 and 127,740.28

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Solution

The fourth proportional to 223,284.76, 308,045.70 and 127,740.28 is: 176,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,284.76 : 308,045.70 = 127,740.28 : x
  2. Step 2: Convert to fraction form
    223,284.76/308,045.70 = 127,740.28/x
  3. Step 3: Cross multiply
    223,284.76x = 308,045.70 × 127,740.28
  4. Step 4: Simplify right side
    223,284.76x = 39,349,843,970.80
  5. Step 5: Solve for x
    x = 39,349,843,970.80/223,284.76
  6. Step 6: Final answer
    x = 176,231.66

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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.