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Finding the Fourth Proportional to 102,586.84, 153,475.38 and 77,698.60

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Solution

The fourth proportional to 102,586.84, 153,475.38 and 77,698.60 is: 116,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.84 : 153,475.38 = 77,698.60 : x
  2. Step 2: Convert to fraction form
    102,586.84/153,475.38 = 77,698.60/x
  3. Step 3: Cross multiply
    102,586.84x = 153,475.38 × 77,698.60
  4. Step 4: Simplify right side
    102,586.84x = 11,924,822,160.47
  5. Step 5: Solve for x
    x = 11,924,822,160.47/102,586.84
  6. Step 6: Final answer
    x = 116,241.25

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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.