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Finding the Fourth Proportional to 103,670.67, 155,812.74 and 86,015.86

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Solution

The fourth proportional to 103,670.67, 155,812.74 and 86,015.86 is: 129,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670.67 : 155,812.74 = 86,015.86 : x
  2. Step 2: Convert to fraction form
    103,670.67/155,812.74 = 86,015.86/x
  3. Step 3: Cross multiply
    103,670.67x = 155,812.74 × 86,015.86
  4. Step 4: Simplify right side
    103,670.67x = 13,402,366,830.06
  5. Step 5: Solve for x
    x = 13,402,366,830.06/103,670.67
  6. Step 6: Final answer
    x = 129,278.29

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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.