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Finding the Fourth Proportional to 102,419.25, 153,628.97 and 28,547.25

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Solution

The fourth proportional to 102,419.25, 153,628.97 and 28,547.25 is: 42,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,419.25 : 153,628.97 = 28,547.25 : x
  2. Step 2: Convert to fraction form
    102,419.25/153,628.97 = 28,547.25/x
  3. Step 3: Cross multiply
    102,419.25x = 153,628.97 × 28,547.25
  4. Step 4: Simplify right side
    102,419.25x = 4,385,684,471.10
  5. Step 5: Solve for x
    x = 4,385,684,471.10/102,419.25
  6. Step 6: Final answer
    x = 42,820.90

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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.