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Finding the Fourth Proportional to 145,545.13, 200,851.98 and 81,883

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Solution

The fourth proportional to 145,545.13, 200,851.98 and 81,883 is: 112,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,545.13 : 200,851.98 = 81,883 : x
  2. Step 2: Convert to fraction form
    145,545.13/200,851.98 = 81,883/x
  3. Step 3: Cross multiply
    145,545.13x = 200,851.98 × 81,883
  4. Step 4: Simplify right side
    145,545.13x = 16,446,362,678.34
  5. Step 5: Solve for x
    x = 16,446,362,678.34/145,545.13
  6. Step 6: Final answer
    x = 112,998.37

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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.