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Finding the Fourth Proportional to 74,937, 103,413.12 and 41,403

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Solution

The fourth proportional to 74,937, 103,413.12 and 41,403 is: 57,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,937 : 103,413.12 = 41,403 : x
  2. Step 2: Convert to fraction form
    74,937/103,413.12 = 41,403/x
  3. Step 3: Cross multiply
    74,937x = 103,413.12 × 41,403
  4. Step 4: Simplify right side
    74,937x = 4,281,613,407.36
  5. Step 5: Solve for x
    x = 4,281,613,407.36/74,937
  6. Step 6: Final answer
    x = 57,136.17

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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.