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Finding the Fourth Proportional to 223,518.42, 308,457.63 and 128,023.11

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Solution

The fourth proportional to 223,518.42, 308,457.63 and 128,023.11 is: 176,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,518.42 : 308,457.63 = 128,023.11 : x
  2. Step 2: Convert to fraction form
    223,518.42/308,457.63 = 128,023.11/x
  3. Step 3: Cross multiply
    223,518.42x = 308,457.63 × 128,023.11
  4. Step 4: Simplify right side
    223,518.42x = 39,489,705,095.83
  5. Step 5: Solve for x
    x = 39,489,705,095.83/223,518.42
  6. Step 6: Final answer
    x = 176,673.16

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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.