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Finding the Fourth Proportional to 76,245.60, 114,259.43 and 42,896

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Solution

The fourth proportional to 76,245.60, 114,259.43 and 42,896 is: 64,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,245.60 : 114,259.43 = 42,896 : x
  2. Step 2: Convert to fraction form
    76,245.60/114,259.43 = 42,896/x
  3. Step 3: Cross multiply
    76,245.60x = 114,259.43 × 42,896
  4. Step 4: Simplify right side
    76,245.60x = 4,901,272,509.28
  5. Step 5: Solve for x
    x = 4,901,272,509.28/76,245.60
  6. Step 6: Final answer
    x = 64,282.69

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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.