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Finding the Fourth Proportional to 116,017.92, 160,133.76 and 71,280

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Solution

The fourth proportional to 116,017.92, 160,133.76 and 71,280 is: 98,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,017.92 : 160,133.76 = 71,280 : x
  2. Step 2: Convert to fraction form
    116,017.92/160,133.76 = 71,280/x
  3. Step 3: Cross multiply
    116,017.92x = 160,133.76 × 71,280
  4. Step 4: Simplify right side
    116,017.92x = 11,414,334,412.80
  5. Step 5: Solve for x
    x = 11,414,334,412.80/116,017.92
  6. Step 6: Final answer
    x = 98,384.24

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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.