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Finding the Fourth Proportional to 83,088.70, 114,663.54 and 47,278.90

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Solution

The fourth proportional to 83,088.70, 114,663.54 and 47,278.90 is: 65,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,088.70 : 114,663.54 = 47,278.90 : x
  2. Step 2: Convert to fraction form
    83,088.70/114,663.54 = 47,278.90/x
  3. Step 3: Cross multiply
    83,088.70x = 114,663.54 × 47,278.90
  4. Step 4: Simplify right side
    83,088.70x = 5,421,166,041.31
  5. Step 5: Solve for x
    x = 5,421,166,041.31/83,088.70
  6. Step 6: Final answer
    x = 65,245.53

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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.