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Finding the Fourth Proportional to 42,415.70, 63,623.55 and 40,228.70

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Solution

The fourth proportional to 42,415.70, 63,623.55 and 40,228.70 is: 60,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415.70 : 63,623.55 = 40,228.70 : x
  2. Step 2: Convert to fraction form
    42,415.70/63,623.55 = 40,228.70/x
  3. Step 3: Cross multiply
    42,415.70x = 63,623.55 × 40,228.70
  4. Step 4: Simplify right side
    42,415.70x = 2,559,492,705.89
  5. Step 5: Solve for x
    x = 2,559,492,705.89/42,415.70
  6. Step 6: Final answer
    x = 60,343.05

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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.