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Finding the Fourth Proportional to 257,909.76, 355,915.67 and 144,732.51

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Solution

The fourth proportional to 257,909.76, 355,915.67 and 144,732.51 is: 199,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,909.76 : 355,915.67 = 144,732.51 : x
  2. Step 2: Convert to fraction form
    257,909.76/355,915.67 = 144,732.51/x
  3. Step 3: Cross multiply
    257,909.76x = 355,915.67 × 144,732.51
  4. Step 4: Simplify right side
    257,909.76x = 51,512,567,543.77
  5. Step 5: Solve for x
    x = 51,512,567,543.77/257,909.76
  6. Step 6: Final answer
    x = 199,730.97

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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.