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Finding the Fourth Proportional to 76,654.80, 105,802.20 and 51,162.48

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Solution

The fourth proportional to 76,654.80, 105,802.20 and 51,162.48 is: 70,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654.80 : 105,802.20 = 51,162.48 : x
  2. Step 2: Convert to fraction form
    76,654.80/105,802.20 = 51,162.48/x
  3. Step 3: Cross multiply
    76,654.80x = 105,802.20 × 51,162.48
  4. Step 4: Simplify right side
    76,654.80x = 5,413,102,941.46
  5. Step 5: Solve for x
    x = 5,413,102,941.46/76,654.80
  6. Step 6: Final answer
    x = 70,616.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.