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Finding the Fourth Proportional to 78,298.21, 108,051.81 and 42,488.22

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Solution

The fourth proportional to 78,298.21, 108,051.81 and 42,488.22 is: 58,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298.21 : 108,051.81 = 42,488.22 : x
  2. Step 2: Convert to fraction form
    78,298.21/108,051.81 = 42,488.22/x
  3. Step 3: Cross multiply
    78,298.21x = 108,051.81 × 42,488.22
  4. Step 4: Simplify right side
    78,298.21x = 4,590,929,679.04
  5. Step 5: Solve for x
    x = 4,590,929,679.04/78,298.21
  6. Step 6: Final answer
    x = 58,633.91

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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.