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Finding the Fourth Proportional to 83,030.78, 114,582.93 and 45,305.84

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Solution

The fourth proportional to 83,030.78, 114,582.93 and 45,305.84 is: 62,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,030.78 : 114,582.93 = 45,305.84 : x
  2. Step 2: Convert to fraction form
    83,030.78/114,582.93 = 45,305.84/x
  3. Step 3: Cross multiply
    83,030.78x = 114,582.93 × 45,305.84
  4. Step 4: Simplify right side
    83,030.78x = 5,191,276,009.87
  5. Step 5: Solve for x
    x = 5,191,276,009.87/83,030.78
  6. Step 6: Final answer
    x = 62,522.31

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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.