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Finding the Fourth Proportional to 137,885.88, 190,275.15 and 77,459.07

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Solution

The fourth proportional to 137,885.88, 190,275.15 and 77,459.07 is: 106,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,885.88 : 190,275.15 = 77,459.07 : x
  2. Step 2: Convert to fraction form
    137,885.88/190,275.15 = 77,459.07/x
  3. Step 3: Cross multiply
    137,885.88x = 190,275.15 × 77,459.07
  4. Step 4: Simplify right side
    137,885.88x = 14,738,536,163.11
  5. Step 5: Solve for x
    x = 14,738,536,163.11/137,885.88
  6. Step 6: Final answer
    x = 106,889.38

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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.