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Finding the Fourth Proportional to 152,218.40, 228,322.88 and 72,313.88

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Solution

The fourth proportional to 152,218.40, 228,322.88 and 72,313.88 is: 108,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218.40 : 228,322.88 = 72,313.88 : x
  2. Step 2: Convert to fraction form
    152,218.40/228,322.88 = 72,313.88/x
  3. Step 3: Cross multiply
    152,218.40x = 228,322.88 × 72,313.88
  4. Step 4: Simplify right side
    152,218.40x = 16,510,911,842.39
  5. Step 5: Solve for x
    x = 16,510,911,842.39/152,218.40
  6. Step 6: Final answer
    x = 108,468.57

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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.