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Finding the Fourth Proportional to 73,488.40, 101,413.58 and 40,782.50

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Solution

The fourth proportional to 73,488.40, 101,413.58 and 40,782.50 is: 56,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,488.40 : 101,413.58 = 40,782.50 : x
  2. Step 2: Convert to fraction form
    73,488.40/101,413.58 = 40,782.50/x
  3. Step 3: Cross multiply
    73,488.40x = 101,413.58 × 40,782.50
  4. Step 4: Simplify right side
    73,488.40x = 4,135,899,326.35
  5. Step 5: Solve for x
    x = 4,135,899,326.35/73,488.40
  6. Step 6: Final answer
    x = 56,279.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.