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Finding the Fourth Proportional to 203,402, 304,812.28 and 89,413.20

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Solution

The fourth proportional to 203,402, 304,812.28 and 89,413.20 is: 133,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,402 : 304,812.28 = 89,413.20 : x
  2. Step 2: Convert to fraction form
    203,402/304,812.28 = 89,413.20/x
  3. Step 3: Cross multiply
    203,402x = 304,812.28 × 89,413.20
  4. Step 4: Simplify right side
    203,402x = 27,254,241,354.10
  5. Step 5: Solve for x
    x = 27,254,241,354.10/203,402
  6. Step 6: Final answer
    x = 133,992.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.