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Finding the Fourth Proportional to 78,345.63, 117,530.75 and 25,742.81

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Solution

The fourth proportional to 78,345.63, 117,530.75 and 25,742.81 is: 38,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345.63 : 117,530.75 = 25,742.81 : x
  2. Step 2: Convert to fraction form
    78,345.63/117,530.75 = 25,742.81/x
  3. Step 3: Cross multiply
    78,345.63x = 117,530.75 × 25,742.81
  4. Step 4: Simplify right side
    78,345.63x = 3,025,571,979.79
  5. Step 5: Solve for x
    x = 3,025,571,979.79/78,345.63
  6. Step 6: Final answer
    x = 38,618.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.