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Finding the Fourth Proportional to 138,277.60, 190,808.48 and 77,847.14

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Solution

The fourth proportional to 138,277.60, 190,808.48 and 77,847.14 is: 107,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,277.60 : 190,808.48 = 77,847.14 : x
  2. Step 2: Convert to fraction form
    138,277.60/190,808.48 = 77,847.14/x
  3. Step 3: Cross multiply
    138,277.60x = 190,808.48 × 77,847.14
  4. Step 4: Simplify right side
    138,277.60x = 14,853,894,066.51
  5. Step 5: Solve for x
    x = 14,853,894,066.51/138,277.60
  6. Step 6: Final answer
    x = 107,420.83

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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.