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Finding the Fourth Proportional to 70,507.76, 105,620.64 and 42,412.28

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Solution

The fourth proportional to 70,507.76, 105,620.64 and 42,412.28 is: 63,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.76 : 105,620.64 = 42,412.28 : x
  2. Step 2: Convert to fraction form
    70,507.76/105,620.64 = 42,412.28/x
  3. Step 3: Cross multiply
    70,507.76x = 105,620.64 × 42,412.28
  4. Step 4: Simplify right side
    70,507.76x = 4,479,612,157.46
  5. Step 5: Solve for x
    x = 4,479,612,157.46/70,507.76
  6. Step 6: Final answer
    x = 63,533.60

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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.