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Finding the Fourth Proportional to 99,138.53, 136,811.23 and 53,816.50

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Solution

The fourth proportional to 99,138.53, 136,811.23 and 53,816.50 is: 74,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138.53 : 136,811.23 = 53,816.50 : x
  2. Step 2: Convert to fraction form
    99,138.53/136,811.23 = 53,816.50/x
  3. Step 3: Cross multiply
    99,138.53x = 136,811.23 × 53,816.50
  4. Step 4: Simplify right side
    99,138.53x = 7,362,701,595.77
  5. Step 5: Solve for x
    x = 7,362,701,595.77/99,138.53
  6. Step 6: Final answer
    x = 74,266.80

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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.