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Finding the Fourth Proportional to 76,894.47, 115,248.18 and 54,411.63

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Solution

The fourth proportional to 76,894.47, 115,248.18 and 54,411.63 is: 81,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.47 : 115,248.18 = 54,411.63 : x
  2. Step 2: Convert to fraction form
    76,894.47/115,248.18 = 54,411.63/x
  3. Step 3: Cross multiply
    76,894.47x = 115,248.18 × 54,411.63
  4. Step 4: Simplify right side
    76,894.47x = 6,270,841,328.33
  5. Step 5: Solve for x
    x = 6,270,841,328.33/76,894.47
  6. Step 6: Final answer
    x = 81,551.27

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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.