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Finding the Fourth Proportional to 78,284.24, 117,357.24 and 59,898.32

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Solution

The fourth proportional to 78,284.24, 117,357.24 and 59,898.32 is: 89,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.24 : 117,357.24 = 59,898.32 : x
  2. Step 2: Convert to fraction form
    78,284.24/117,357.24 = 59,898.32/x
  3. Step 3: Cross multiply
    78,284.24x = 117,357.24 × 59,898.32
  4. Step 4: Simplify right side
    78,284.24x = 7,029,501,515.84
  5. Step 5: Solve for x
    x = 7,029,501,515.84/78,284.24
  6. Step 6: Final answer
    x = 89,794.59

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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.