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Finding the Fourth Proportional to 99,878.94, 137,836.98 and 57,437.48

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Solution

The fourth proportional to 99,878.94, 137,836.98 and 57,437.48 is: 79,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,878.94 : 137,836.98 = 57,437.48 : x
  2. Step 2: Convert to fraction form
    99,878.94/137,836.98 = 57,437.48/x
  3. Step 3: Cross multiply
    99,878.94x = 137,836.98 × 57,437.48
  4. Step 4: Simplify right side
    99,878.94x = 7,917,008,782.01
  5. Step 5: Solve for x
    x = 7,917,008,782.01/99,878.94
  6. Step 6: Final answer
    x = 79,266.05

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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.