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Finding the Fourth Proportional to 160,545.82, 221,493.75 and 103,988.38

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Solution

The fourth proportional to 160,545.82, 221,493.75 and 103,988.38 is: 143,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,545.82 : 221,493.75 = 103,988.38 : x
  2. Step 2: Convert to fraction form
    160,545.82/221,493.75 = 103,988.38/x
  3. Step 3: Cross multiply
    160,545.82x = 221,493.75 × 103,988.38
  4. Step 4: Simplify right side
    160,545.82x = 23,032,776,242.63
  5. Step 5: Solve for x
    x = 23,032,776,242.63/160,545.82
  6. Step 6: Final answer
    x = 143,465.44

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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.