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Finding the Fourth Proportional to 99,802.84, 137,751.08 and 65,817.46

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Solution

The fourth proportional to 99,802.84, 137,751.08 and 65,817.46 is: 90,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.84 : 137,751.08 = 65,817.46 : x
  2. Step 2: Convert to fraction form
    99,802.84/137,751.08 = 65,817.46/x
  3. Step 3: Cross multiply
    99,802.84x = 137,751.08 × 65,817.46
  4. Step 4: Simplify right side
    99,802.84x = 9,066,425,868.77
  5. Step 5: Solve for x
    x = 9,066,425,868.77/99,802.84
  6. Step 6: Final answer
    x = 90,843.37

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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.