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Finding the Fourth Proportional to 105,133.92, 145,136.88 and 66,931.44

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Solution

The fourth proportional to 105,133.92, 145,136.88 and 66,931.44 is: 92,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,133.92 : 145,136.88 = 66,931.44 : x
  2. Step 2: Convert to fraction form
    105,133.92/145,136.88 = 66,931.44/x
  3. Step 3: Cross multiply
    105,133.92x = 145,136.88 × 66,931.44
  4. Step 4: Simplify right side
    105,133.92x = 9,714,220,375.51
  5. Step 5: Solve for x
    x = 9,714,220,375.51/105,133.92
  6. Step 6: Final answer
    x = 92,398.54

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1.5x scale

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.