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Finding the Fourth Proportional to 78,365.37, 117,567.95 and 36,275.79

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Solution

The fourth proportional to 78,365.37, 117,567.95 and 36,275.79 is: 54,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,365.37 : 117,567.95 = 36,275.79 : x
  2. Step 2: Convert to fraction form
    78,365.37/117,567.95 = 36,275.79/x
  3. Step 3: Cross multiply
    78,365.37x = 117,567.95 × 36,275.79
  4. Step 4: Simplify right side
    78,365.37x = 4,264,870,083.55
  5. Step 5: Solve for x
    x = 4,264,870,083.55/78,365.37
  6. Step 6: Final answer
    x = 54,422.89

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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.