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Finding the Fourth Proportional to 257,955.96, 355,877.50 and 148,988.28

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Solution

The fourth proportional to 257,955.96, 355,877.50 and 148,988.28 is: 205,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,955.96 : 355,877.50 = 148,988.28 : x
  2. Step 2: Convert to fraction form
    257,955.96/355,877.50 = 148,988.28/x
  3. Step 3: Cross multiply
    257,955.96x = 355,877.50 × 148,988.28
  4. Step 4: Simplify right side
    257,955.96x = 53,021,576,615.70
  5. Step 5: Solve for x
    x = 53,021,576,615.70/257,955.96
  6. Step 6: Final answer
    x = 205,545.07

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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.