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Finding the Fourth Proportional to 99,135.76, 136,805.16 and 53,813.84

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Solution

The fourth proportional to 99,135.76, 136,805.16 and 53,813.84 is: 74,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135.76 : 136,805.16 = 53,813.84 : x
  2. Step 2: Convert to fraction form
    99,135.76/136,805.16 = 53,813.84/x
  3. Step 3: Cross multiply
    99,135.76x = 136,805.16 × 53,813.84
  4. Step 4: Simplify right side
    99,135.76x = 7,362,010,991.41
  5. Step 5: Solve for x
    x = 7,362,010,991.41/99,135.76
  6. Step 6: Final answer
    x = 74,261.91

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1.5x scale

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.