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Finding the Fourth Proportional to 99,825.84, 137,569.50 and 71,482.32

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Solution

The fourth proportional to 99,825.84, 137,569.50 and 71,482.32 is: 98,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825.84 : 137,569.50 = 71,482.32 : x
  2. Step 2: Convert to fraction form
    99,825.84/137,569.50 = 71,482.32/x
  3. Step 3: Cross multiply
    99,825.84x = 137,569.50 × 71,482.32
  4. Step 4: Simplify right side
    99,825.84x = 9,833,787,021.24
  5. Step 5: Solve for x
    x = 9,833,787,021.24/99,825.84
  6. Step 6: Final answer
    x = 98,509.43

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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.