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Finding the Fourth Proportional to 78,287.45, 108,036.53 and 42,477.45

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Solution

The fourth proportional to 78,287.45, 108,036.53 and 42,477.45 is: 58,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.45 : 108,036.53 = 42,477.45 : x
  2. Step 2: Convert to fraction form
    78,287.45/108,036.53 = 42,477.45/x
  3. Step 3: Cross multiply
    78,287.45x = 108,036.53 × 42,477.45
  4. Step 4: Simplify right side
    78,287.45x = 4,589,116,301.25
  5. Step 5: Solve for x
    x = 4,589,116,301.25/78,287.45
  6. Step 6: Final answer
    x = 58,618.80

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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.