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Finding the Fourth Proportional to 260,195.72, 390,027.71 and 147,638.16

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Solution

The fourth proportional to 260,195.72, 390,027.71 and 147,638.16 is: 221,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,195.72 : 390,027.71 = 147,638.16 : x
  2. Step 2: Convert to fraction form
    260,195.72/390,027.71 = 147,638.16/x
  3. Step 3: Cross multiply
    260,195.72x = 390,027.71 × 147,638.16
  4. Step 4: Simplify right side
    260,195.72x = 57,582,973,822.51
  5. Step 5: Solve for x
    x = 57,582,973,822.51/260,195.72
  6. Step 6: Final answer
    x = 221,306.39

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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.