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Finding the Fourth Proportional to 117,405.66, 162,034.43 and 77,152.71

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Solution

The fourth proportional to 117,405.66, 162,034.43 and 77,152.71 is: 106,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,405.66 : 162,034.43 = 77,152.71 : x
  2. Step 2: Convert to fraction form
    117,405.66/162,034.43 = 77,152.71/x
  3. Step 3: Cross multiply
    117,405.66x = 162,034.43 × 77,152.71
  4. Step 4: Simplify right side
    117,405.66x = 12,501,395,387.81
  5. Step 5: Solve for x
    x = 12,501,395,387.81/117,405.66
  6. Step 6: Final answer
    x = 106,480.35

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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.