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Finding the Fourth Proportional to 102,419, 153,628.59 and 28,547

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Solution

The fourth proportional to 102,419, 153,628.59 and 28,547 is: 42,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,419 : 153,628.59 = 28,547 : x
  2. Step 2: Convert to fraction form
    102,419/153,628.59 = 28,547/x
  3. Step 3: Cross multiply
    102,419x = 153,628.59 × 28,547
  4. Step 4: Simplify right side
    102,419x = 4,385,635,358.73
  5. Step 5: Solve for x
    x = 4,385,635,358.73/102,419
  6. Step 6: Final answer
    x = 42,820.53

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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.