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Finding the Fourth Proportional to 145,792.88, 201,191.28 and 82,129.40

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Solution

The fourth proportional to 145,792.88, 201,191.28 and 82,129.40 is: 113,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792.88 : 201,191.28 = 82,129.40 : x
  2. Step 2: Convert to fraction form
    145,792.88/201,191.28 = 82,129.40/x
  3. Step 3: Cross multiply
    145,792.88x = 201,191.28 × 82,129.40
  4. Step 4: Simplify right side
    145,792.88x = 16,523,719,111.63
  5. Step 5: Solve for x
    x = 16,523,719,111.63/145,792.88
  6. Step 6: Final answer
    x = 113,336.94

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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.