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Finding the Fourth Proportional to 192,643.02, 288,966.51 and 86,032.40

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Solution

The fourth proportional to 192,643.02, 288,966.51 and 86,032.40 is: 129,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,643.02 : 288,966.51 = 86,032.40 : x
  2. Step 2: Convert to fraction form
    192,643.02/288,966.51 = 86,032.40/x
  3. Step 3: Cross multiply
    192,643.02x = 288,966.51 × 86,032.40
  4. Step 4: Simplify right side
    192,643.02x = 24,860,482,374.92
  5. Step 5: Solve for x
    x = 24,860,482,374.92/192,643.02
  6. Step 6: Final answer
    x = 129,049.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.