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Finding the Fourth Proportional to 76,685.60, 114,801.60 and 57,051.20

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Solution

The fourth proportional to 76,685.60, 114,801.60 and 57,051.20 is: 85,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685.60 : 114,801.60 = 57,051.20 : x
  2. Step 2: Convert to fraction form
    76,685.60/114,801.60 = 57,051.20/x
  3. Step 3: Cross multiply
    76,685.60x = 114,801.60 × 57,051.20
  4. Step 4: Simplify right side
    76,685.60x = 6,549,569,041.92
  5. Step 5: Solve for x
    x = 6,549,569,041.92/76,685.60
  6. Step 6: Final answer
    x = 85,408.07

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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.