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Finding the Fourth Proportional to 138,396.61, 190,987.91 and 77,967.98

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Solution

The fourth proportional to 138,396.61, 190,987.91 and 77,967.98 is: 107,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,396.61 : 190,987.91 = 77,967.98 : x
  2. Step 2: Convert to fraction form
    138,396.61/190,987.91 = 77,967.98/x
  3. Step 3: Cross multiply
    138,396.61x = 190,987.91 × 77,967.98
  4. Step 4: Simplify right side
    138,396.61x = 14,890,941,157.28
  5. Step 5: Solve for x
    x = 14,890,941,157.28/138,396.61
  6. Step 6: Final answer
    x = 107,596.14

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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.