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Finding the Fourth Proportional to 116,386.84, 160,609.32 and 71,140.58

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Solution

The fourth proportional to 116,386.84, 160,609.32 and 71,140.58 is: 98,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,386.84 : 160,609.32 = 71,140.58 : x
  2. Step 2: Convert to fraction form
    116,386.84/160,609.32 = 71,140.58/x
  3. Step 3: Cross multiply
    116,386.84x = 160,609.32 × 71,140.58
  4. Step 4: Simplify right side
    116,386.84x = 11,425,840,178.21
  5. Step 5: Solve for x
    x = 11,425,840,178.21/116,386.84
  6. Step 6: Final answer
    x = 98,171.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.