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Finding the Fourth Proportional to 78,602.48, 108,459.20 and 45,062

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Solution

The fourth proportional to 78,602.48, 108,459.20 and 45,062 is: 62,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.48 : 108,459.20 = 45,062 : x
  2. Step 2: Convert to fraction form
    78,602.48/108,459.20 = 45,062/x
  3. Step 3: Cross multiply
    78,602.48x = 108,459.20 × 45,062
  4. Step 4: Simplify right side
    78,602.48x = 4,887,388,470.40
  5. Step 5: Solve for x
    x = 4,887,388,470.40/78,602.48
  6. Step 6: Final answer
    x = 62,178.55

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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.