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Finding the Fourth Proportional to 145,482.32, 200,735.49 and 85,041.27

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Solution

The fourth proportional to 145,482.32, 200,735.49 and 85,041.27 is: 117,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,482.32 : 200,735.49 = 85,041.27 : x
  2. Step 2: Convert to fraction form
    145,482.32/200,735.49 = 85,041.27/x
  3. Step 3: Cross multiply
    145,482.32x = 200,735.49 × 85,041.27
  4. Step 4: Simplify right side
    145,482.32x = 17,070,801,003.67
  5. Step 5: Solve for x
    x = 17,070,801,003.67/145,482.32
  6. Step 6: Final answer
    x = 117,339.35

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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.