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Finding the Fourth Proportional to 138,190.98, 190,704.36 and 77,762.64

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Solution

The fourth proportional to 138,190.98, 190,704.36 and 77,762.64 is: 107,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,190.98 : 190,704.36 = 77,762.64 : x
  2. Step 2: Convert to fraction form
    138,190.98/190,704.36 = 77,762.64/x
  3. Step 3: Cross multiply
    138,190.98x = 190,704.36 × 77,762.64
  4. Step 4: Simplify right side
    138,190.98x = 14,829,674,493.11
  5. Step 5: Solve for x
    x = 14,829,674,493.11/138,190.98
  6. Step 6: Final answer
    x = 107,312.90

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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.