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Finding the Fourth Proportional to 115,951.90, 160,030.53 and 64,968.07

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Solution

The fourth proportional to 115,951.90, 160,030.53 and 64,968.07 is: 89,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,951.90 : 160,030.53 = 64,968.07 : x
  2. Step 2: Convert to fraction form
    115,951.90/160,030.53 = 64,968.07/x
  3. Step 3: Cross multiply
    115,951.90x = 160,030.53 × 64,968.07
  4. Step 4: Simplify right side
    115,951.90x = 10,396,874,675.18
  5. Step 5: Solve for x
    x = 10,396,874,675.18/115,951.90
  6. Step 6: Final answer
    x = 89,665.41

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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.