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Finding the Fourth Proportional to 260,156.40, 390,040.20 and 141,961.20

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Solution

The fourth proportional to 260,156.40, 390,040.20 and 141,961.20 is: 212,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,156.40 : 390,040.20 = 141,961.20 : x
  2. Step 2: Convert to fraction form
    260,156.40/390,040.20 = 141,961.20/x
  3. Step 3: Cross multiply
    260,156.40x = 390,040.20 × 141,961.20
  4. Step 4: Simplify right side
    260,156.40x = 55,370,574,840.24
  5. Step 5: Solve for x
    x = 55,370,574,840.24/260,156.40
  6. Step 6: Final answer
    x = 212,835.72

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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.