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Finding the Fourth Proportional to 109,775.88, 164,926.50 and 70,409.88

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Solution

The fourth proportional to 109,775.88, 164,926.50 and 70,409.88 is: 105,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,775.88 : 164,926.50 = 70,409.88 : x
  2. Step 2: Convert to fraction form
    109,775.88/164,926.50 = 70,409.88/x
  3. Step 3: Cross multiply
    109,775.88x = 164,926.50 × 70,409.88
  4. Step 4: Simplify right side
    109,775.88x = 11,612,455,073.82
  5. Step 5: Solve for x
    x = 11,612,455,073.82/109,775.88
  6. Step 6: Final answer
    x = 105,783.30

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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.