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Finding the Fourth Proportional to 109,776.88, 164,928 and 70,410.88

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Solution

The fourth proportional to 109,776.88, 164,928 and 70,410.88 is: 105,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,776.88 : 164,928 = 70,410.88 : x
  2. Step 2: Convert to fraction form
    109,776.88/164,928 = 70,410.88/x
  3. Step 3: Cross multiply
    109,776.88x = 164,928 × 70,410.88
  4. Step 4: Simplify right side
    109,776.88x = 11,612,725,616.64
  5. Step 5: Solve for x
    x = 11,612,725,616.64/109,776.88
  6. Step 6: Final answer
    x = 105,784.80

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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.