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Finding the Fourth Proportional to 99,051.90, 136,690.82 and 53,729.77

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Solution

The fourth proportional to 99,051.90, 136,690.82 and 53,729.77 is: 74,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,051.90 : 136,690.82 = 53,729.77 : x
  2. Step 2: Convert to fraction form
    99,051.90/136,690.82 = 53,729.77/x
  3. Step 3: Cross multiply
    99,051.90x = 136,690.82 × 53,729.77
  4. Step 4: Simplify right side
    99,051.90x = 7,344,366,319.71
  5. Step 5: Solve for x
    x = 7,344,366,319.71/99,051.90
  6. Step 6: Final answer
    x = 74,146.65

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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.