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Finding the Fourth Proportional to 105,104, 145,046.58 and 57,360.40

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Solution

The fourth proportional to 105,104, 145,046.58 and 57,360.40 is: 79,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104 : 145,046.58 = 57,360.40 : x
  2. Step 2: Convert to fraction form
    105,104/145,046.58 = 57,360.40/x
  3. Step 3: Cross multiply
    105,104x = 145,046.58 × 57,360.40
  4. Step 4: Simplify right side
    105,104x = 8,319,929,847.43
  5. Step 5: Solve for x
    x = 8,319,929,847.43/105,104
  6. Step 6: Final answer
    x = 79,159.02

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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.