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Finding the Fourth Proportional to 155,014.83, 213,941.86 and 86,119.74

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Solution

The fourth proportional to 155,014.83, 213,941.86 and 86,119.74 is: 118,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,014.83 : 213,941.86 = 86,119.74 : x
  2. Step 2: Convert to fraction form
    155,014.83/213,941.86 = 86,119.74/x
  3. Step 3: Cross multiply
    155,014.83x = 213,941.86 × 86,119.74
  4. Step 4: Simplify right side
    155,014.83x = 18,424,617,143.02
  5. Step 5: Solve for x
    x = 18,424,617,143.02/155,014.83
  6. Step 6: Final answer
    x = 118,857.13

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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.