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Finding the Fourth Proportional to 76,802.42, 115,203.54 and 21,398.42

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Solution

The fourth proportional to 76,802.42, 115,203.54 and 21,398.42 is: 32,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.42 : 115,203.54 = 21,398.42 : x
  2. Step 2: Convert to fraction form
    76,802.42/115,203.54 = 21,398.42/x
  3. Step 3: Cross multiply
    76,802.42x = 115,203.54 × 21,398.42
  4. Step 4: Simplify right side
    76,802.42x = 2,465,173,734.41
  5. Step 5: Solve for x
    x = 2,465,173,734.41/76,802.42
  6. Step 6: Final answer
    x = 32,097.60

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1.5x scale

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.