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Finding the Fourth Proportional to 117,590.58, 162,342.31 and 77,421.11

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Solution

The fourth proportional to 117,590.58, 162,342.31 and 77,421.11 is: 106,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,590.58 : 162,342.31 = 77,421.11 : x
  2. Step 2: Convert to fraction form
    117,590.58/162,342.31 = 77,421.11/x
  3. Step 3: Cross multiply
    117,590.58x = 162,342.31 × 77,421.11
  4. Step 4: Simplify right side
    117,590.58x = 12,568,721,840.16
  5. Step 5: Solve for x
    x = 12,568,721,840.16/117,590.58
  6. Step 6: Final answer
    x = 106,885.45

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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.