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Finding the Fourth Proportional to 223,647.86, 308,641.12 and 128,184.50

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Solution

The fourth proportional to 223,647.86, 308,641.12 and 128,184.50 is: 176,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,647.86 : 308,641.12 = 128,184.50 : x
  2. Step 2: Convert to fraction form
    223,647.86/308,641.12 = 128,184.50/x
  3. Step 3: Cross multiply
    223,647.86x = 308,641.12 × 128,184.50
  4. Step 4: Simplify right side
    223,647.86x = 39,563,007,646.64
  5. Step 5: Solve for x
    x = 39,563,007,646.64/223,647.86
  6. Step 6: Final answer
    x = 176,898.66

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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.