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Finding the Fourth Proportional to 98,011.80, 135,286.74 and 77,904.36

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Solution

The fourth proportional to 98,011.80, 135,286.74 and 77,904.36 is: 107,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,011.80 : 135,286.74 = 77,904.36 : x
  2. Step 2: Convert to fraction form
    98,011.80/135,286.74 = 77,904.36/x
  3. Step 3: Cross multiply
    98,011.80x = 135,286.74 × 77,904.36
  4. Step 4: Simplify right side
    98,011.80x = 10,539,426,896.19
  5. Step 5: Solve for x
    x = 10,539,426,896.19/98,011.80
  6. Step 6: Final answer
    x = 107,532.22

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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.