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Finding the Fourth Proportional to 160,641.82, 221,686.95 and 89,023

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Solution

The fourth proportional to 160,641.82, 221,686.95 and 89,023 is: 122,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,641.82 : 221,686.95 = 89,023 : x
  2. Step 2: Convert to fraction form
    160,641.82/221,686.95 = 89,023/x
  3. Step 3: Cross multiply
    160,641.82x = 221,686.95 × 89,023
  4. Step 4: Simplify right side
    160,641.82x = 19,735,237,349.85
  5. Step 5: Solve for x
    x = 19,735,237,349.85/160,641.82
  6. Step 6: Final answer
    x = 122,852.43

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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.