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Finding the Fourth Proportional to 78,076.95, 107,742.10 and 45,807.08

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Solution

The fourth proportional to 78,076.95, 107,742.10 and 45,807.08 is: 63,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.95 : 107,742.10 = 45,807.08 : x
  2. Step 2: Convert to fraction form
    78,076.95/107,742.10 = 45,807.08/x
  3. Step 3: Cross multiply
    78,076.95x = 107,742.10 × 45,807.08
  4. Step 4: Simplify right side
    78,076.95x = 4,935,350,994.07
  5. Step 5: Solve for x
    x = 4,935,350,994.07/78,076.95
  6. Step 6: Final answer
    x = 63,211.37

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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.