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Finding the Fourth Proportional to 53,830, 74,285.40 and 30,278

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Solution

The fourth proportional to 53,830, 74,285.40 and 30,278 is: 41,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830 : 74,285.40 = 30,278 : x
  2. Step 2: Convert to fraction form
    53,830/74,285.40 = 30,278/x
  3. Step 3: Cross multiply
    53,830x = 74,285.40 × 30,278
  4. Step 4: Simplify right side
    53,830x = 2,249,213,341.20
  5. Step 5: Solve for x
    x = 2,249,213,341.20/53,830
  6. Step 6: Final answer
    x = 41,783.64

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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.