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Finding the Fourth Proportional to 78,014.90, 117,022.35 and 77,237.30

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Solution

The fourth proportional to 78,014.90, 117,022.35 and 77,237.30 is: 115,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.90 : 117,022.35 = 77,237.30 : x
  2. Step 2: Convert to fraction form
    78,014.90/117,022.35 = 77,237.30/x
  3. Step 3: Cross multiply
    78,014.90x = 117,022.35 × 77,237.30
  4. Step 4: Simplify right side
    78,014.90x = 9,038,490,353.66
  5. Step 5: Solve for x
    x = 9,038,490,353.66/78,014.90
  6. Step 6: Final answer
    x = 115,855.95

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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.