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Finding the Fourth Proportional to 99,765, 137,675.88 and 55,053

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Solution

The fourth proportional to 99,765, 137,675.88 and 55,053 is: 75,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765 : 137,675.88 = 55,053 : x
  2. Step 2: Convert to fraction form
    99,765/137,675.88 = 55,053/x
  3. Step 3: Cross multiply
    99,765x = 137,675.88 × 55,053
  4. Step 4: Simplify right side
    99,765x = 7,579,470,221.64
  5. Step 5: Solve for x
    x = 7,579,470,221.64/99,765
  6. Step 6: Final answer
    x = 75,973.24

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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.