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Finding the Fourth Proportional to 257,307.68, 355,084.08 and 144,128

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Solution

The fourth proportional to 257,307.68, 355,084.08 and 144,128 is: 198,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,307.68 : 355,084.08 = 144,128 : x
  2. Step 2: Convert to fraction form
    257,307.68/355,084.08 = 144,128/x
  3. Step 3: Cross multiply
    257,307.68x = 355,084.08 × 144,128
  4. Step 4: Simplify right side
    257,307.68x = 51,177,558,282.24
  5. Step 5: Solve for x
    x = 51,177,558,282.24/257,307.68
  6. Step 6: Final answer
    x = 198,896.35

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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.