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Finding the Fourth Proportional to 145,755.86, 201,193.41 and 85,345.92

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Solution

The fourth proportional to 145,755.86, 201,193.41 and 85,345.92 is: 117,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,755.86 : 201,193.41 = 85,345.92 : x
  2. Step 2: Convert to fraction form
    145,755.86/201,193.41 = 85,345.92/x
  3. Step 3: Cross multiply
    145,755.86x = 201,193.41 × 85,345.92
  4. Step 4: Simplify right side
    145,755.86x = 17,171,036,674.39
  5. Step 5: Solve for x
    x = 17,171,036,674.39/145,755.86
  6. Step 6: Final answer
    x = 117,806.84

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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.