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Finding the Fourth Proportional to 76,307.52, 105,289.44 and 42,314.64

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Solution

The fourth proportional to 76,307.52, 105,289.44 and 42,314.64 is: 58,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.52 : 105,289.44 = 42,314.64 : x
  2. Step 2: Convert to fraction form
    76,307.52/105,289.44 = 42,314.64/x
  3. Step 3: Cross multiply
    76,307.52x = 105,289.44 × 42,314.64
  4. Step 4: Simplify right side
    76,307.52x = 4,455,284,749.40
  5. Step 5: Solve for x
    x = 4,455,284,749.40/76,307.52
  6. Step 6: Final answer
    x = 58,385.92

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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.