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Finding the Fourth Proportional to 99,133.76, 136,802.40 and 53,811.84

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Solution

The fourth proportional to 99,133.76, 136,802.40 and 53,811.84 is: 74,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,133.76 : 136,802.40 = 53,811.84 : x
  2. Step 2: Convert to fraction form
    99,133.76/136,802.40 = 53,811.84/x
  3. Step 3: Cross multiply
    99,133.76x = 136,802.40 × 53,811.84
  4. Step 4: Simplify right side
    99,133.76x = 7,361,588,860.42
  5. Step 5: Solve for x
    x = 7,361,588,860.42/99,133.76
  6. Step 6: Final answer
    x = 74,259.15

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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.