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Finding the Fourth Proportional to 145,953.14, 218,938.94 and 61,697.60

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Solution

The fourth proportional to 145,953.14, 218,938.94 and 61,697.60 is: 92,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953.14 : 218,938.94 = 61,697.60 : x
  2. Step 2: Convert to fraction form
    145,953.14/218,938.94 = 61,697.60/x
  3. Step 3: Cross multiply
    145,953.14x = 218,938.94 × 61,697.60
  4. Step 4: Simplify right side
    145,953.14x = 13,508,007,144.54
  5. Step 5: Solve for x
    x = 13,508,007,144.54/145,953.14
  6. Step 6: Final answer
    x = 92,550.30

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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.