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Finding the Fourth Proportional to 145,893.78, 218,753.10 and 57,041.46

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Solution

The fourth proportional to 145,893.78, 218,753.10 and 57,041.46 is: 85,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.78 : 218,753.10 = 57,041.46 : x
  2. Step 2: Convert to fraction form
    145,893.78/218,753.10 = 57,041.46/x
  3. Step 3: Cross multiply
    145,893.78x = 218,753.10 × 57,041.46
  4. Step 4: Simplify right side
    145,893.78x = 12,477,996,203.53
  5. Step 5: Solve for x
    x = 12,477,996,203.53/145,893.78
  6. Step 6: Final answer
    x = 85,527.95

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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.