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Finding the Fourth Proportional to 159,898.10, 239,875.95 and 66,413.30

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Solution

The fourth proportional to 159,898.10, 239,875.95 and 66,413.30 is: 99,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,898.10 : 239,875.95 = 66,413.30 : x
  2. Step 2: Convert to fraction form
    159,898.10/239,875.95 = 66,413.30/x
  3. Step 3: Cross multiply
    159,898.10x = 239,875.95 × 66,413.30
  4. Step 4: Simplify right side
    159,898.10x = 15,930,953,430.14
  5. Step 5: Solve for x
    x = 15,930,953,430.14/159,898.10
  6. Step 6: Final answer
    x = 99,631.91

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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.