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Finding the Fourth Proportional to 145,878.70, 218,818.05 and 82,893.10

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Solution

The fourth proportional to 145,878.70, 218,818.05 and 82,893.10 is: 124,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,878.70 : 218,818.05 = 82,893.10 : x
  2. Step 2: Convert to fraction form
    145,878.70/218,818.05 = 82,893.10/x
  3. Step 3: Cross multiply
    145,878.70x = 218,818.05 × 82,893.10
  4. Step 4: Simplify right side
    145,878.70x = 18,138,506,500.46
  5. Step 5: Solve for x
    x = 18,138,506,500.46/145,878.70
  6. Step 6: Final answer
    x = 124,339.65

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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.