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Finding the Fourth Proportional to 145,602.71, 218,431.64 and 56,850.61

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Solution

The fourth proportional to 145,602.71, 218,431.64 and 56,850.61 is: 85,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,602.71 : 218,431.64 = 56,850.61 : x
  2. Step 2: Convert to fraction form
    145,602.71/218,431.64 = 56,850.61/x
  3. Step 3: Cross multiply
    145,602.71x = 218,431.64 × 56,850.61
  4. Step 4: Simplify right side
    145,602.71x = 12,417,971,663.12
  5. Step 5: Solve for x
    x = 12,417,971,663.12/145,602.71
  6. Step 6: Final answer
    x = 85,286.68

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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.