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Finding the Fourth Proportional to 138,419.75, 207,467.66 and 63,547.13

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Solution

The fourth proportional to 138,419.75, 207,467.66 and 63,547.13 is: 95,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,419.75 : 207,467.66 = 63,547.13 : x
  2. Step 2: Convert to fraction form
    138,419.75/207,467.66 = 63,547.13/x
  3. Step 3: Cross multiply
    138,419.75x = 207,467.66 × 63,547.13
  4. Step 4: Simplify right side
    138,419.75x = 13,183,975,038.35
  5. Step 5: Solve for x
    x = 13,183,975,038.35/138,419.75
  6. Step 6: Final answer
    x = 95,246.34

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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.