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Finding the Fourth Proportional to 152,873, 210,966.18 and 85,806.44

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Solution

The fourth proportional to 152,873, 210,966.18 and 85,806.44 is: 118,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,873 : 210,966.18 = 85,806.44 : x
  2. Step 2: Convert to fraction form
    152,873/210,966.18 = 85,806.44/x
  3. Step 3: Cross multiply
    152,873x = 210,966.18 × 85,806.44
  4. Step 4: Simplify right side
    152,873x = 18,102,256,866.20
  5. Step 5: Solve for x
    x = 18,102,256,866.20/152,873
  6. Step 6: Final answer
    x = 118,413.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.