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Finding the Fourth Proportional to 78,830.90, 118,246.35 and 76,643.90

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Solution

The fourth proportional to 78,830.90, 118,246.35 and 76,643.90 is: 114,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.90 : 118,246.35 = 76,643.90 : x
  2. Step 2: Convert to fraction form
    78,830.90/118,246.35 = 76,643.90/x
  3. Step 3: Cross multiply
    78,830.90x = 118,246.35 × 76,643.90
  4. Step 4: Simplify right side
    78,830.90x = 9,062,861,424.77
  5. Step 5: Solve for x
    x = 9,062,861,424.77/78,830.90
  6. Step 6: Final answer
    x = 114,965.85

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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.