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Finding the Fourth Proportional to 116,432, 160,676.16 and 63,440

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Solution

The fourth proportional to 116,432, 160,676.16 and 63,440 is: 87,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,432 : 160,676.16 = 63,440 : x
  2. Step 2: Convert to fraction form
    116,432/160,676.16 = 63,440/x
  3. Step 3: Cross multiply
    116,432x = 160,676.16 × 63,440
  4. Step 4: Simplify right side
    116,432x = 10,193,295,590.40
  5. Step 5: Solve for x
    x = 10,193,295,590.40/116,432
  6. Step 6: Final answer
    x = 87,547.20

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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.