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Finding the Fourth Proportional to 145,612.78, 218,329.97 and 56,762.48

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Solution

The fourth proportional to 145,612.78, 218,329.97 and 56,762.48 is: 85,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,612.78 : 218,329.97 = 56,762.48 : x
  2. Step 2: Convert to fraction form
    145,612.78/218,329.97 = 56,762.48/x
  3. Step 3: Cross multiply
    145,612.78x = 218,329.97 × 56,762.48
  4. Step 4: Simplify right side
    145,612.78x = 12,392,951,652.63
  5. Step 5: Solve for x
    x = 12,392,951,652.63/145,612.78
  6. Step 6: Final answer
    x = 85,108.96

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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.