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Finding the Fourth Proportional to 45,419, 62,686.86 and 25,547

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Solution

The fourth proportional to 45,419, 62,686.86 and 25,547 is: 35,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,419 : 62,686.86 = 25,547 : x
  2. Step 2: Convert to fraction form
    45,419/62,686.86 = 25,547/x
  3. Step 3: Cross multiply
    45,419x = 62,686.86 × 25,547
  4. Step 4: Simplify right side
    45,419x = 1,601,461,212.42
  5. Step 5: Solve for x
    x = 1,601,461,212.42/45,419
  6. Step 6: Final answer
    x = 35,259.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.