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Finding the Fourth Proportional to 103,656.93, 155,792.12 and 86,002.11

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Solution

The fourth proportional to 103,656.93, 155,792.12 and 86,002.11 is: 129,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,656.93 : 155,792.12 = 86,002.11 : x
  2. Step 2: Convert to fraction form
    103,656.93/155,792.12 = 86,002.11/x
  3. Step 3: Cross multiply
    103,656.93x = 155,792.12 × 86,002.11
  4. Step 4: Simplify right side
    103,656.93x = 13,398,451,041.37
  5. Step 5: Solve for x
    x = 13,398,451,041.37/103,656.93
  6. Step 6: Final answer
    x = 129,257.65

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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.