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Finding the Fourth Proportional to 145,980.26, 218,873.11 and 52,473.86

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Solution

The fourth proportional to 145,980.26, 218,873.11 and 52,473.86 is: 78,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980.26 : 218,873.11 = 52,473.86 : x
  2. Step 2: Convert to fraction form
    145,980.26/218,873.11 = 52,473.86/x
  3. Step 3: Cross multiply
    145,980.26x = 218,873.11 × 52,473.86
  4. Step 4: Simplify right side
    145,980.26x = 11,485,116,931.90
  5. Step 5: Solve for x
    x = 11,485,116,931.90/145,980.26
  6. Step 6: Final answer
    x = 78,675.82

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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.