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Finding the Fourth Proportional to 145,358.34, 200,584.51 and 81,705.70

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Solution

The fourth proportional to 145,358.34, 200,584.51 and 81,705.70 is: 112,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,358.34 : 200,584.51 = 81,705.70 : x
  2. Step 2: Convert to fraction form
    145,358.34/200,584.51 = 81,705.70/x
  3. Step 3: Cross multiply
    145,358.34x = 200,584.51 × 81,705.70
  4. Step 4: Simplify right side
    145,358.34x = 16,388,897,798.71
  5. Step 5: Solve for x
    x = 16,388,897,798.71/145,358.34
  6. Step 6: Final answer
    x = 112,748.25

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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.