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Finding the Fourth Proportional to 160,689.52, 221,753.12 and 89,070.72

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Solution

The fourth proportional to 160,689.52, 221,753.12 and 89,070.72 is: 122,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,689.52 : 221,753.12 = 89,070.72 : x
  2. Step 2: Convert to fraction form
    160,689.52/221,753.12 = 89,070.72/x
  3. Step 3: Cross multiply
    160,689.52x = 221,753.12 × 89,070.72
  4. Step 4: Simplify right side
    160,689.52x = 19,751,710,060.65
  5. Step 5: Solve for x
    x = 19,751,710,060.65/160,689.52
  6. Step 6: Final answer
    x = 122,918.47

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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.