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Finding the Fourth Proportional to 255,689.34, 383,549.13 and 78,208.62

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Solution

The fourth proportional to 255,689.34, 383,549.13 and 78,208.62 is: 117,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,689.34 : 383,549.13 = 78,208.62 : x
  2. Step 2: Convert to fraction form
    255,689.34/383,549.13 = 78,208.62/x
  3. Step 3: Cross multiply
    255,689.34x = 383,549.13 × 78,208.62
  4. Step 4: Simplify right side
    255,689.34x = 29,996,848,159.50
  5. Step 5: Solve for x
    x = 29,996,848,159.50/255,689.34
  6. Step 6: Final answer
    x = 117,317.55

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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.