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Finding the Fourth Proportional to 192,642.02, 288,965.01 and 86,031.40

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Solution

The fourth proportional to 192,642.02, 288,965.01 and 86,031.40 is: 129,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.02 : 288,965.01 = 86,031.40 : x
  2. Step 2: Convert to fraction form
    192,642.02/288,965.01 = 86,031.40/x
  3. Step 3: Cross multiply
    192,642.02x = 288,965.01 × 86,031.40
  4. Step 4: Simplify right side
    192,642.02x = 24,860,064,361.31
  5. Step 5: Solve for x
    x = 24,860,064,361.31/192,642.02
  6. Step 6: Final answer
    x = 129,047.98

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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.