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Finding the Fourth Proportional to 145,415.84, 218,240.40 and 75,315.20

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Solution

The fourth proportional to 145,415.84, 218,240.40 and 75,315.20 is: 113,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,415.84 : 218,240.40 = 75,315.20 : x
  2. Step 2: Convert to fraction form
    145,415.84/218,240.40 = 75,315.20/x
  3. Step 3: Cross multiply
    145,415.84x = 218,240.40 × 75,315.20
  4. Step 4: Simplify right side
    145,415.84x = 16,436,819,374.08
  5. Step 5: Solve for x
    x = 16,436,819,374.08/145,415.84
  6. Step 6: Final answer
    x = 113,033.21

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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.