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Finding the Fourth Proportional to 257,307.86, 355,051.59 and 144,130.61

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Solution

The fourth proportional to 257,307.86, 355,051.59 and 144,130.61 is: 198,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,307.86 : 355,051.59 = 144,130.61 : x
  2. Step 2: Convert to fraction form
    257,307.86/355,051.59 = 144,130.61/x
  3. Step 3: Cross multiply
    257,307.86x = 355,051.59 × 144,130.61
  4. Step 4: Simplify right side
    257,307.86x = 51,173,800,472.91
  5. Step 5: Solve for x
    x = 51,173,800,472.91/257,307.86
  6. Step 6: Final answer
    x = 198,881.61

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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.