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Finding the Fourth Proportional to 78,329.30, 117,530.40 and 40,931.60

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Solution

The fourth proportional to 78,329.30, 117,530.40 and 40,931.60 is: 61,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,329.30 : 117,530.40 = 40,931.60 : x
  2. Step 2: Convert to fraction form
    78,329.30/117,530.40 = 40,931.60/x
  3. Step 3: Cross multiply
    78,329.30x = 117,530.40 × 40,931.60
  4. Step 4: Simplify right side
    78,329.30x = 4,810,707,320.64
  5. Step 5: Solve for x
    x = 4,810,707,320.64/78,329.30
  6. Step 6: Final answer
    x = 61,416.45

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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.