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Finding the Fourth Proportional to 105,713.12, 145,930.64 and 74,006.48

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Solution

The fourth proportional to 105,713.12, 145,930.64 and 74,006.48 is: 102,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,713.12 : 145,930.64 = 74,006.48 : x
  2. Step 2: Convert to fraction form
    105,713.12/145,930.64 = 74,006.48/x
  3. Step 3: Cross multiply
    105,713.12x = 145,930.64 × 74,006.48
  4. Step 4: Simplify right side
    105,713.12x = 10,799,812,990.55
  5. Step 5: Solve for x
    x = 10,799,812,990.55/105,713.12
  6. Step 6: Final answer
    x = 102,161.52

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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.