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Finding the Fourth Proportional to 83,061.45, 114,623.10 and 45,335.70

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Solution

The fourth proportional to 83,061.45, 114,623.10 and 45,335.70 is: 62,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,061.45 : 114,623.10 = 45,335.70 : x
  2. Step 2: Convert to fraction form
    83,061.45/114,623.10 = 45,335.70/x
  3. Step 3: Cross multiply
    83,061.45x = 114,623.10 × 45,335.70
  4. Step 4: Simplify right side
    83,061.45x = 5,196,518,474.67
  5. Step 5: Solve for x
    x = 5,196,518,474.67/83,061.45
  6. Step 6: Final answer
    x = 62,562.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.