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Finding the Fourth Proportional to 98,454.36, 135,878.40 and 56,019.54

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Solution

The fourth proportional to 98,454.36, 135,878.40 and 56,019.54 is: 77,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,454.36 : 135,878.40 = 56,019.54 : x
  2. Step 2: Convert to fraction form
    98,454.36/135,878.40 = 56,019.54/x
  3. Step 3: Cross multiply
    98,454.36x = 135,878.40 × 56,019.54
  4. Step 4: Simplify right side
    98,454.36x = 7,611,845,463.94
  5. Step 5: Solve for x
    x = 7,611,845,463.94/98,454.36
  6. Step 6: Final answer
    x = 77,313.44

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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.