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Finding the Fourth Proportional to 218,812.86, 328,274.64 and 61,041.24

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Solution

The fourth proportional to 218,812.86, 328,274.64 and 61,041.24 is: 91,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,812.86 : 328,274.64 = 61,041.24 : x
  2. Step 2: Convert to fraction form
    218,812.86/328,274.64 = 61,041.24/x
  3. Step 3: Cross multiply
    218,812.86x = 328,274.64 × 61,041.24
  4. Step 4: Simplify right side
    218,812.86x = 20,038,291,086.15
  5. Step 5: Solve for x
    x = 20,038,291,086.15/218,812.86
  6. Step 6: Final answer
    x = 91,577.30

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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.