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Finding the Fourth Proportional to 102,168.19, 140,992.80 and 56,848.08

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Solution

The fourth proportional to 102,168.19, 140,992.80 and 56,848.08 is: 78,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168.19 : 140,992.80 = 56,848.08 : x
  2. Step 2: Convert to fraction form
    102,168.19/140,992.80 = 56,848.08/x
  3. Step 3: Cross multiply
    102,168.19x = 140,992.80 × 56,848.08
  4. Step 4: Simplify right side
    102,168.19x = 8,015,169,973.82
  5. Step 5: Solve for x
    x = 8,015,169,973.82/102,168.19
  6. Step 6: Final answer
    x = 78,450.74

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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.