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Finding the Fourth Proportional to 105,161.34, 145,139.32 and 66,880.98

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Solution

The fourth proportional to 105,161.34, 145,139.32 and 66,880.98 is: 92,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,161.34 : 145,139.32 = 66,880.98 : x
  2. Step 2: Convert to fraction form
    105,161.34/145,139.32 = 66,880.98/x
  3. Step 3: Cross multiply
    105,161.34x = 145,139.32 × 66,880.98
  4. Step 4: Simplify right side
    105,161.34x = 9,707,059,958.13
  5. Step 5: Solve for x
    x = 9,707,059,958.13/105,161.34
  6. Step 6: Final answer
    x = 92,306.35

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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.