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Finding the Fourth Proportional to 115,770.71, 159,788.39 and 75,412.46

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Solution

The fourth proportional to 115,770.71, 159,788.39 and 75,412.46 is: 104,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.71 : 159,788.39 = 75,412.46 : x
  2. Step 2: Convert to fraction form
    115,770.71/159,788.39 = 75,412.46/x
  3. Step 3: Cross multiply
    115,770.71x = 159,788.39 × 75,412.46
  4. Step 4: Simplify right side
    115,770.71x = 12,050,034,393.34
  5. Step 5: Solve for x
    x = 12,050,034,393.34/115,770.71
  6. Step 6: Final answer
    x = 104,085.35

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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.