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Finding the Fourth Proportional to 53,978.12, 74,477.82 and 31,320.92

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Solution

The fourth proportional to 53,978.12, 74,477.82 and 31,320.92 is: 43,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.12 : 74,477.82 = 31,320.92 : x
  2. Step 2: Convert to fraction form
    53,978.12/74,477.82 = 31,320.92/x
  3. Step 3: Cross multiply
    53,978.12x = 74,477.82 × 31,320.92
  4. Step 4: Simplify right side
    53,978.12x = 2,332,713,841.99
  5. Step 5: Solve for x
    x = 2,332,713,841.99/53,978.12
  6. Step 6: Final answer
    x = 43,215.91

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1.5x scale

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.