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Finding the Fourth Proportional to 145,988.80, 219,056.10 and 82,857.40

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Solution

The fourth proportional to 145,988.80, 219,056.10 and 82,857.40 is: 124,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,988.80 : 219,056.10 = 82,857.40 : x
  2. Step 2: Convert to fraction form
    145,988.80/219,056.10 = 82,857.40/x
  3. Step 3: Cross multiply
    145,988.80x = 219,056.10 × 82,857.40
  4. Step 4: Simplify right side
    145,988.80x = 18,150,418,900.14
  5. Step 5: Solve for x
    x = 18,150,418,900.14/145,988.80
  6. Step 6: Final answer
    x = 124,327.48

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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.