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Finding the Fourth Proportional to 148,400.75, 204,806 and 81,345.71

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Solution

The fourth proportional to 148,400.75, 204,806 and 81,345.71 is: 112,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,400.75 : 204,806 = 81,345.71 : x
  2. Step 2: Convert to fraction form
    148,400.75/204,806 = 81,345.71/x
  3. Step 3: Cross multiply
    148,400.75x = 204,806 × 81,345.71
  4. Step 4: Simplify right side
    148,400.75x = 16,660,089,482.26
  5. Step 5: Solve for x
    x = 16,660,089,482.26/148,400.75
  6. Step 6: Final answer
    x = 112,264.19

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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.