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Finding the Fourth Proportional to 78,008.64, 107,617.74 and 45,726.90

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Solution

The fourth proportional to 78,008.64, 107,617.74 and 45,726.90 is: 63,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008.64 : 107,617.74 = 45,726.90 : x
  2. Step 2: Convert to fraction form
    78,008.64/107,617.74 = 45,726.90/x
  3. Step 3: Cross multiply
    78,008.64x = 107,617.74 × 45,726.90
  4. Step 4: Simplify right side
    78,008.64x = 4,921,025,635.21
  5. Step 5: Solve for x
    x = 4,921,025,635.21/78,008.64
  6. Step 6: Final answer
    x = 63,083.08

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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.