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Finding the Fourth Proportional to 53,316, 73,582.58 and 30,960

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Solution

The fourth proportional to 53,316, 73,582.58 and 30,960 is: 42,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,316 : 73,582.58 = 30,960 : x
  2. Step 2: Convert to fraction form
    53,316/73,582.58 = 30,960/x
  3. Step 3: Cross multiply
    53,316x = 73,582.58 × 30,960
  4. Step 4: Simplify right side
    53,316x = 2,278,116,676.80
  5. Step 5: Solve for x
    x = 2,278,116,676.80/53,316
  6. Step 6: Final answer
    x = 42,728.57

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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.