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Finding the Fourth Proportional to 104,520, 144,237.60 and 57,416

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Solution

The fourth proportional to 104,520, 144,237.60 and 57,416 is: 79,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,520 : 144,237.60 = 57,416 : x
  2. Step 2: Convert to fraction form
    104,520/144,237.60 = 57,416/x
  3. Step 3: Cross multiply
    104,520x = 144,237.60 × 57,416
  4. Step 4: Simplify right side
    104,520x = 8,281,546,041.60
  5. Step 5: Solve for x
    x = 8,281,546,041.60/104,520
  6. Step 6: Final answer
    x = 79,234.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.