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Finding the Fourth Proportional to 145,153.34, 217,743.70 and 56,413.66

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Solution

The fourth proportional to 145,153.34, 217,743.70 and 56,413.66 is: 84,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,153.34 : 217,743.70 = 56,413.66 : x
  2. Step 2: Convert to fraction form
    145,153.34/217,743.70 = 56,413.66/x
  3. Step 3: Cross multiply
    145,153.34x = 217,743.70 × 56,413.66
  4. Step 4: Simplify right side
    145,153.34x = 12,283,719,058.94
  5. Step 5: Solve for x
    x = 12,283,719,058.94/145,153.34
  6. Step 6: Final answer
    x = 84,625.81

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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.