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Finding the Fourth Proportional to 146,802.60, 220,031.10 and 76,645.80

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Solution

The fourth proportional to 146,802.60, 220,031.10 and 76,645.80 is: 114,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802.60 : 220,031.10 = 76,645.80 : x
  2. Step 2: Convert to fraction form
    146,802.60/220,031.10 = 76,645.80/x
  3. Step 3: Cross multiply
    146,802.60x = 220,031.10 × 76,645.80
  4. Step 4: Simplify right side
    146,802.60x = 16,864,459,684.38
  5. Step 5: Solve for x
    x = 16,864,459,684.38/146,802.60
  6. Step 6: Final answer
    x = 114,878.48

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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.