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Finding the Fourth Proportional to 78,063.44, 117,117.08 and 31,349.12

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Solution

The fourth proportional to 78,063.44, 117,117.08 and 31,349.12 is: 47,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,063.44 : 117,117.08 = 31,349.12 : x
  2. Step 2: Convert to fraction form
    78,063.44/117,117.08 = 31,349.12/x
  3. Step 3: Cross multiply
    78,063.44x = 117,117.08 × 31,349.12
  4. Step 4: Simplify right side
    78,063.44x = 3,671,517,394.97
  5. Step 5: Solve for x
    x = 3,671,517,394.97/78,063.44
  6. Step 6: Final answer
    x = 47,032.48

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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.