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Finding the Fourth Proportional to 223,945.84, 309,085.50 and 128,484.10

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Solution

The fourth proportional to 223,945.84, 309,085.50 and 128,484.10 is: 177,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,945.84 : 309,085.50 = 128,484.10 : x
  2. Step 2: Convert to fraction form
    223,945.84/309,085.50 = 128,484.10/x
  3. Step 3: Cross multiply
    223,945.84x = 309,085.50 × 128,484.10
  4. Step 4: Simplify right side
    223,945.84x = 39,712,572,290.55
  5. Step 5: Solve for x
    x = 39,712,572,290.55/223,945.84
  6. Step 6: Final answer
    x = 177,331.15

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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.