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Finding the Fourth Proportional to 98,091, 135,366.12 and 53,379

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Solution

The fourth proportional to 98,091, 135,366.12 and 53,379 is: 73,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,091 : 135,366.12 = 53,379 : x
  2. Step 2: Convert to fraction form
    98,091/135,366.12 = 53,379/x
  3. Step 3: Cross multiply
    98,091x = 135,366.12 × 53,379
  4. Step 4: Simplify right side
    98,091x = 7,225,708,119.48
  5. Step 5: Solve for x
    x = 7,225,708,119.48/98,091
  6. Step 6: Final answer
    x = 73,663.31

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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.