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Finding the Fourth Proportional to 260,143.72, 390,268.32 and 147,877.72

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Solution

The fourth proportional to 260,143.72, 390,268.32 and 147,877.72 is: 221,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,143.72 : 390,268.32 = 147,877.72 : x
  2. Step 2: Convert to fraction form
    260,143.72/390,268.32 = 147,877.72/x
  3. Step 3: Cross multiply
    260,143.72x = 390,268.32 × 147,877.72
  4. Step 4: Simplify right side
    260,143.72x = 57,711,989,349.83
  5. Step 5: Solve for x
    x = 57,711,989,349.83/260,143.72
  6. Step 6: Final answer
    x = 221,846.56

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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.