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Finding the Fourth Proportional to 98,384.47, 135,769.93 and 55,943

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Solution

The fourth proportional to 98,384.47, 135,769.93 and 55,943 is: 77,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384.47 : 135,769.93 = 55,943 : x
  2. Step 2: Convert to fraction form
    98,384.47/135,769.93 = 55,943/x
  3. Step 3: Cross multiply
    98,384.47x = 135,769.93 × 55,943
  4. Step 4: Simplify right side
    98,384.47x = 7,595,377,193.99
  5. Step 5: Solve for x
    x = 7,595,377,193.99/98,384.47
  6. Step 6: Final answer
    x = 77,200.98

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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.