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Finding the Fourth Proportional to 255,378.69, 382,670.73 and 97,521.03

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Solution

The fourth proportional to 255,378.69, 382,670.73 and 97,521.03 is: 146,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,378.69 : 382,670.73 = 97,521.03 : x
  2. Step 2: Convert to fraction form
    255,378.69/382,670.73 = 97,521.03/x
  3. Step 3: Cross multiply
    255,378.69x = 382,670.73 × 97,521.03
  4. Step 4: Simplify right side
    255,378.69x = 37,318,443,740.45
  5. Step 5: Solve for x
    x = 37,318,443,740.45/255,378.69
  6. Step 6: Final answer
    x = 146,129.83

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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.