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Finding the Fourth Proportional to 98,966.50, 136,573.77 and 54,254.50

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Solution

The fourth proportional to 98,966.50, 136,573.77 and 54,254.50 is: 74,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966.50 : 136,573.77 = 54,254.50 : x
  2. Step 2: Convert to fraction form
    98,966.50/136,573.77 = 54,254.50/x
  3. Step 3: Cross multiply
    98,966.50x = 136,573.77 × 54,254.50
  4. Step 4: Simplify right side
    98,966.50x = 7,409,741,604.47
  5. Step 5: Solve for x
    x = 7,409,741,604.47/98,966.50
  6. Step 6: Final answer
    x = 74,871.21

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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.