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Finding the Fourth Proportional to 145,884.65, 218,774.31 and 61,651.32

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Solution

The fourth proportional to 145,884.65, 218,774.31 and 61,651.32 is: 92,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,884.65 : 218,774.31 = 61,651.32 : x
  2. Step 2: Convert to fraction form
    145,884.65/218,774.31 = 61,651.32/x
  3. Step 3: Cross multiply
    145,884.65x = 218,774.31 × 61,651.32
  4. Step 4: Simplify right side
    145,884.65x = 13,487,724,993.59
  5. Step 5: Solve for x
    x = 13,487,724,993.59/145,884.65
  6. Step 6: Final answer
    x = 92,454.72

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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.