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Finding the Fourth Proportional to 106,805.64, 160,214.28 and 31,931.61

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Solution

The fourth proportional to 106,805.64, 160,214.28 and 31,931.61 is: 47,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,805.64 : 160,214.28 = 31,931.61 : x
  2. Step 2: Convert to fraction form
    106,805.64/160,214.28 = 31,931.61/x
  3. Step 3: Cross multiply
    106,805.64x = 160,214.28 × 31,931.61
  4. Step 4: Simplify right side
    106,805.64x = 5,115,899,905.39
  5. Step 5: Solve for x
    x = 5,115,899,905.39/106,805.64
  6. Step 6: Final answer
    x = 47,899.16

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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.