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Finding the Fourth Proportional to 81,506.25, 112,478.93 and 47,538.19

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Solution

The fourth proportional to 81,506.25, 112,478.93 and 47,538.19 is: 65,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,506.25 : 112,478.93 = 47,538.19 : x
  2. Step 2: Convert to fraction form
    81,506.25/112,478.93 = 47,538.19/x
  3. Step 3: Cross multiply
    81,506.25x = 112,478.93 × 47,538.19
  4. Step 4: Simplify right side
    81,506.25x = 5,347,044,826.51
  5. Step 5: Solve for x
    x = 5,347,044,826.51/81,506.25
  6. Step 6: Final answer
    x = 65,602.88

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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.