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Finding the Fourth Proportional to 145,063.32, 200,207.28 and 81,404.88

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Solution

The fourth proportional to 145,063.32, 200,207.28 and 81,404.88 is: 112,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,063.32 : 200,207.28 = 81,404.88 : x
  2. Step 2: Convert to fraction form
    145,063.32/200,207.28 = 81,404.88/x
  3. Step 3: Cross multiply
    145,063.32x = 200,207.28 × 81,404.88
  4. Step 4: Simplify right side
    145,063.32x = 16,297,849,603.53
  5. Step 5: Solve for x
    x = 16,297,849,603.53/145,063.32
  6. Step 6: Final answer
    x = 112,349.90

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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.