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Finding the Fourth Proportional to 106,314.40, 159,471.60 and 77,008.60

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Solution

The fourth proportional to 106,314.40, 159,471.60 and 77,008.60 is: 115,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.40 : 159,471.60 = 77,008.60 : x
  2. Step 2: Convert to fraction form
    106,314.40/159,471.60 = 77,008.60/x
  3. Step 3: Cross multiply
    106,314.40x = 159,471.60 × 77,008.60
  4. Step 4: Simplify right side
    106,314.40x = 12,280,684,655.76
  5. Step 5: Solve for x
    x = 12,280,684,655.76/106,314.40
  6. Step 6: Final answer
    x = 115,512.90

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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.