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Finding the Fourth Proportional to 78,275.16, 108,019.44 and 42,464.52

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Solution

The fourth proportional to 78,275.16, 108,019.44 and 42,464.52 is: 58,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,275.16 : 108,019.44 = 42,464.52 : x
  2. Step 2: Convert to fraction form
    78,275.16/108,019.44 = 42,464.52/x
  3. Step 3: Cross multiply
    78,275.16x = 108,019.44 × 42,464.52
  4. Step 4: Simplify right side
    78,275.16x = 4,586,993,670.27
  5. Step 5: Solve for x
    x = 4,586,993,670.27/78,275.16
  6. Step 6: Final answer
    x = 58,600.89

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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.