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Finding the Fourth Proportional to 145,512, 200,776.32 and 85,070.79

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Solution

The fourth proportional to 145,512, 200,776.32 and 85,070.79 is: 117,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,512 : 200,776.32 = 85,070.79 : x
  2. Step 2: Convert to fraction form
    145,512/200,776.32 = 85,070.79/x
  3. Step 3: Cross multiply
    145,512x = 200,776.32 × 85,070.79
  4. Step 4: Simplify right side
    145,512x = 17,080,200,155.69
  5. Step 5: Solve for x
    x = 17,080,200,155.69/145,512
  6. Step 6: Final answer
    x = 117,380.01

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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.