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Finding the Fourth Proportional to 105,290.64, 157,912.70 and 30,394.51

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Solution

The fourth proportional to 105,290.64, 157,912.70 and 30,394.51 is: 45,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290.64 : 157,912.70 = 30,394.51 : x
  2. Step 2: Convert to fraction form
    105,290.64/157,912.70 = 30,394.51/x
  3. Step 3: Cross multiply
    105,290.64x = 157,912.70 × 30,394.51
  4. Step 4: Simplify right side
    105,290.64x = 4,799,679,139.28
  5. Step 5: Solve for x
    x = 4,799,679,139.28/105,290.64
  6. Step 6: Final answer
    x = 45,585.05

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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.