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Finding the Fourth Proportional to 53,377, 73,653.86 and 31,862.76

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Solution

The fourth proportional to 53,377, 73,653.86 and 31,862.76 is: 43,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,377 : 73,653.86 = 31,862.76 : x
  2. Step 2: Convert to fraction form
    53,377/73,653.86 = 31,862.76/x
  3. Step 3: Cross multiply
    53,377x = 73,653.86 × 31,862.76
  4. Step 4: Simplify right side
    53,377x = 2,346,815,264.25
  5. Step 5: Solve for x
    x = 2,346,815,264.25/53,377
  6. Step 6: Final answer
    x = 43,966.79

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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.