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Finding the Fourth Proportional to 105,713.87, 158,284.76 and 77,419.55

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Solution

The fourth proportional to 105,713.87, 158,284.76 and 77,419.55 is: 115,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,713.87 : 158,284.76 = 77,419.55 : x
  2. Step 2: Convert to fraction form
    105,713.87/158,284.76 = 77,419.55/x
  3. Step 3: Cross multiply
    105,713.87x = 158,284.76 × 77,419.55
  4. Step 4: Simplify right side
    105,713.87x = 12,254,334,899.67
  5. Step 5: Solve for x
    x = 12,254,334,899.67/105,713.87
  6. Step 6: Final answer
    x = 115,919.85

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1.5x scale

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.