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Finding the Fourth Proportional to 78,053.58, 117,085.80 and 31,306.44

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Solution

The fourth proportional to 78,053.58, 117,085.80 and 31,306.44 is: 46,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.58 : 117,085.80 = 31,306.44 : x
  2. Step 2: Convert to fraction form
    78,053.58/117,085.80 = 31,306.44/x
  3. Step 3: Cross multiply
    78,053.58x = 117,085.80 × 31,306.44
  4. Step 4: Simplify right side
    78,053.58x = 3,665,539,572.55
  5. Step 5: Solve for x
    x = 3,665,539,572.55/78,053.58
  6. Step 6: Final answer
    x = 46,961.84

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1.5x scale

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.