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Finding the Fourth Proportional to 145,986.60, 218,858.40 and 61,811.40

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Solution

The fourth proportional to 145,986.60, 218,858.40 and 61,811.40 is: 92,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,986.60 : 218,858.40 = 61,811.40 : x
  2. Step 2: Convert to fraction form
    145,986.60/218,858.40 = 61,811.40/x
  3. Step 3: Cross multiply
    145,986.60x = 218,858.40 × 61,811.40
  4. Step 4: Simplify right side
    145,986.60x = 13,527,944,105.76
  5. Step 5: Solve for x
    x = 13,527,944,105.76/145,986.60
  6. Step 6: Final answer
    x = 92,665.66

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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.