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Finding the Fourth Proportional to 61,413.80, 92,120.70 and 56,748.20

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Solution

The fourth proportional to 61,413.80, 92,120.70 and 56,748.20 is: 85,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413.80 : 92,120.70 = 56,748.20 : x
  2. Step 2: Convert to fraction form
    61,413.80/92,120.70 = 56,748.20/x
  3. Step 3: Cross multiply
    61,413.80x = 92,120.70 × 56,748.20
  4. Step 4: Simplify right side
    61,413.80x = 5,227,683,907.74
  5. Step 5: Solve for x
    x = 5,227,683,907.74/61,413.80
  6. Step 6: Final answer
    x = 85,122.30

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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.