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Finding the Fourth Proportional to 99,152.73, 136,830.34 and 53,830.35

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Solution

The fourth proportional to 99,152.73, 136,830.34 and 53,830.35 is: 74,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,152.73 : 136,830.34 = 53,830.35 : x
  2. Step 2: Convert to fraction form
    99,152.73/136,830.34 = 53,830.35/x
  3. Step 3: Cross multiply
    99,152.73x = 136,830.34 × 53,830.35
  4. Step 4: Simplify right side
    99,152.73x = 7,365,624,623.87
  5. Step 5: Solve for x
    x = 7,365,624,623.87/99,152.73
  6. Step 6: Final answer
    x = 74,285.64

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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.