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Finding the Fourth Proportional to 145,153.35, 217,743.72 and 56,413.65

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Solution

The fourth proportional to 145,153.35, 217,743.72 and 56,413.65 is: 84,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,153.35 : 217,743.72 = 56,413.65 : x
  2. Step 2: Convert to fraction form
    145,153.35/217,743.72 = 56,413.65/x
  3. Step 3: Cross multiply
    145,153.35x = 217,743.72 × 56,413.65
  4. Step 4: Simplify right side
    145,153.35x = 12,283,718,009.78
  5. Step 5: Solve for x
    x = 12,283,718,009.78/145,153.35
  6. Step 6: Final answer
    x = 84,625.80

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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.