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Finding the Fourth Proportional to 83,483.76, 115,185.18 and 47,666.64

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Solution

The fourth proportional to 83,483.76, 115,185.18 and 47,666.64 is: 65,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,483.76 : 115,185.18 = 47,666.64 : x
  2. Step 2: Convert to fraction form
    83,483.76/115,185.18 = 47,666.64/x
  3. Step 3: Cross multiply
    83,483.76x = 115,185.18 × 47,666.64
  4. Step 4: Simplify right side
    83,483.76x = 5,490,490,508.40
  5. Step 5: Solve for x
    x = 5,490,490,508.40/83,483.76
  6. Step 6: Final answer
    x = 65,767.17

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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.