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Finding the Fourth Proportional to 136,475.90, 204,742.65 and 42,991.10

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Solution

The fourth proportional to 136,475.90, 204,742.65 and 42,991.10 is: 64,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,475.90 : 204,742.65 = 42,991.10 : x
  2. Step 2: Convert to fraction form
    136,475.90/204,742.65 = 42,991.10/x
  3. Step 3: Cross multiply
    136,475.90x = 204,742.65 × 42,991.10
  4. Step 4: Simplify right side
    136,475.90x = 8,802,111,740.42
  5. Step 5: Solve for x
    x = 8,802,111,740.42/136,475.90
  6. Step 6: Final answer
    x = 64,495.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.