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Finding the Fourth Proportional to 105,164.34, 145,143.46 and 66,883.98

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Solution

The fourth proportional to 105,164.34, 145,143.46 and 66,883.98 is: 92,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.34 : 145,143.46 = 66,883.98 : x
  2. Step 2: Convert to fraction form
    105,164.34/145,143.46 = 66,883.98/x
  3. Step 3: Cross multiply
    105,164.34x = 145,143.46 × 66,883.98
  4. Step 4: Simplify right side
    105,164.34x = 9,707,772,275.77
  5. Step 5: Solve for x
    x = 9,707,772,275.77/105,164.34
  6. Step 6: Final answer
    x = 92,310.49

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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.