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Finding the Fourth Proportional to 138,547.92, 207,804.60 and 55,442.64

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Solution

The fourth proportional to 138,547.92, 207,804.60 and 55,442.64 is: 83,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,547.92 : 207,804.60 = 55,442.64 : x
  2. Step 2: Convert to fraction form
    138,547.92/207,804.60 = 55,442.64/x
  3. Step 3: Cross multiply
    138,547.92x = 207,804.60 × 55,442.64
  4. Step 4: Simplify right side
    138,547.92x = 11,521,235,628.14
  5. Step 5: Solve for x
    x = 11,521,235,628.14/138,547.92
  6. Step 6: Final answer
    x = 83,157.05

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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.