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Finding the Fourth Proportional to 117,585.48, 162,228 and 77,296.08

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Solution

The fourth proportional to 117,585.48, 162,228 and 77,296.08 is: 106,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,585.48 : 162,228 = 77,296.08 : x
  2. Step 2: Convert to fraction form
    117,585.48/162,228 = 77,296.08/x
  3. Step 3: Cross multiply
    117,585.48x = 162,228 × 77,296.08
  4. Step 4: Simplify right side
    117,585.48x = 12,539,588,466.24
  5. Step 5: Solve for x
    x = 12,539,588,466.24/117,585.48
  6. Step 6: Final answer
    x = 106,642.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.