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Finding the Fourth Proportional to 109,778.88, 164,931 and 70,412.88

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Solution

The fourth proportional to 109,778.88, 164,931 and 70,412.88 is: 105,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,778.88 : 164,931 = 70,412.88 : x
  2. Step 2: Convert to fraction form
    109,778.88/164,931 = 70,412.88/x
  3. Step 3: Cross multiply
    109,778.88x = 164,931 × 70,412.88
  4. Step 4: Simplify right side
    109,778.88x = 11,613,266,711.28
  5. Step 5: Solve for x
    x = 11,613,266,711.28/109,778.88
  6. Step 6: Final answer
    x = 105,787.80

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1.5x scale

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.