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Finding the Fourth Proportional to 255,099.90, 382,212.45 and 166,307.70

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Solution

The fourth proportional to 255,099.90, 382,212.45 and 166,307.70 is: 249,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,099.90 : 382,212.45 = 166,307.70 : x
  2. Step 2: Convert to fraction form
    255,099.90/382,212.45 = 166,307.70/x
  3. Step 3: Cross multiply
    255,099.90x = 382,212.45 × 166,307.70
  4. Step 4: Simplify right side
    255,099.90x = 63,564,873,470.87
  5. Step 5: Solve for x
    x = 63,564,873,470.87/255,099.90
  6. Step 6: Final answer
    x = 249,176.40

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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.