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Finding the Fourth Proportional to 142,073.60, 213,207.60 and 78,893.60

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Solution

The fourth proportional to 142,073.60, 213,207.60 and 78,893.60 is: 118,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073.60 : 213,207.60 = 78,893.60 : x
  2. Step 2: Convert to fraction form
    142,073.60/213,207.60 = 78,893.60/x
  3. Step 3: Cross multiply
    142,073.60x = 213,207.60 × 78,893.60
  4. Step 4: Simplify right side
    142,073.60x = 16,820,715,111.36
  5. Step 5: Solve for x
    x = 16,820,715,111.36/142,073.60
  6. Step 6: Final answer
    x = 118,394.38

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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.