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Finding the Fourth Proportional to 70,543.80, 105,815.70 and 54,973.08

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Solution

The fourth proportional to 70,543.80, 105,815.70 and 54,973.08 is: 82,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543.80 : 105,815.70 = 54,973.08 : x
  2. Step 2: Convert to fraction form
    70,543.80/105,815.70 = 54,973.08/x
  3. Step 3: Cross multiply
    70,543.80x = 105,815.70 × 54,973.08
  4. Step 4: Simplify right side
    70,543.80x = 5,817,014,941.36
  5. Step 5: Solve for x
    x = 5,817,014,941.36/70,543.80
  6. Step 6: Final answer
    x = 82,459.62

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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.