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Finding the Fourth Proportional to 99,726.98, 137,674.02 and 77,014.98

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Solution

The fourth proportional to 99,726.98, 137,674.02 and 77,014.98 is: 106,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,726.98 : 137,674.02 = 77,014.98 : x
  2. Step 2: Convert to fraction form
    99,726.98/137,674.02 = 77,014.98/x
  3. Step 3: Cross multiply
    99,726.98x = 137,674.02 × 77,014.98
  4. Step 4: Simplify right side
    99,726.98x = 10,602,961,896.82
  5. Step 5: Solve for x
    x = 10,602,961,896.82/99,726.98
  6. Step 6: Final answer
    x = 106,319.90

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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.