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Finding the Fourth Proportional to 255,757, 383,690.88 and 97,985.46

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Solution

The fourth proportional to 255,757, 383,690.88 and 97,985.46 is: 146,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,757 : 383,690.88 = 97,985.46 : x
  2. Step 2: Convert to fraction form
    255,757/383,690.88 = 97,985.46/x
  3. Step 3: Cross multiply
    255,757x = 383,690.88 × 97,985.46
  4. Step 4: Simplify right side
    255,757x = 37,596,127,374.60
  5. Step 5: Solve for x
    x = 37,596,127,374.60/255,757
  6. Step 6: Final answer
    x = 146,999.41

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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.