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Finding the Fourth Proportional to 70,534.08, 105,798.24 and 28,980

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Solution

The fourth proportional to 70,534.08, 105,798.24 and 28,980 is: 43,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534.08 : 105,798.24 = 28,980 : x
  2. Step 2: Convert to fraction form
    70,534.08/105,798.24 = 28,980/x
  3. Step 3: Cross multiply
    70,534.08x = 105,798.24 × 28,980
  4. Step 4: Simplify right side
    70,534.08x = 3,066,032,995.20
  5. Step 5: Solve for x
    x = 3,066,032,995.20/70,534.08
  6. Step 6: Final answer
    x = 43,468.82

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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.