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Finding the Fourth Proportional to 145,820.79, 218,723.90 and 57,090.56

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Solution

The fourth proportional to 145,820.79, 218,723.90 and 57,090.56 is: 85,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.79 : 218,723.90 = 57,090.56 : x
  2. Step 2: Convert to fraction form
    145,820.79/218,723.90 = 57,090.56/x
  3. Step 3: Cross multiply
    145,820.79x = 218,723.90 × 57,090.56
  4. Step 4: Simplify right side
    145,820.79x = 12,487,068,557.31
  5. Step 5: Solve for x
    x = 12,487,068,557.31/145,820.79
  6. Step 6: Final answer
    x = 85,632.98

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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.