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Finding the Fourth Proportional to 145,492.80, 218,077.20 and 56,716.80

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Solution

The fourth proportional to 145,492.80, 218,077.20 and 56,716.80 is: 85,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.80 : 218,077.20 = 56,716.80 : x
  2. Step 2: Convert to fraction form
    145,492.80/218,077.20 = 56,716.80/x
  3. Step 3: Cross multiply
    145,492.80x = 218,077.20 × 56,716.80
  4. Step 4: Simplify right side
    145,492.80x = 12,368,640,936.96
  5. Step 5: Solve for x
    x = 12,368,640,936.96/145,492.80
  6. Step 6: Final answer
    x = 85,012.05

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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.