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Finding the Fourth Proportional to 72,547.84, 100,122.00 and 40,284.46

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Solution

The fourth proportional to 72,547.84, 100,122.00 and 40,284.46 is: 55,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,547.84 : 100,122.00 = 40,284.46 : x
  2. Step 2: Convert to fraction form
    72,547.84/100,122.00 = 40,284.46/x
  3. Step 3: Cross multiply
    72,547.84x = 100,122.00 × 40,284.46
  4. Step 4: Simplify right side
    72,547.84x = 4,033,361,073.10
  5. Step 5: Solve for x
    x = 4,033,361,073.10/72,547.84
  6. Step 6: Final answer
    x = 55,595.88

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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.