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Finding the Fourth Proportional to 98,534, 147,824.40 and 31,974.32

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Solution

The fourth proportional to 98,534, 147,824.40 and 31,974.32 is: 47,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,534 : 147,824.40 = 31,974.32 : x
  2. Step 2: Convert to fraction form
    98,534/147,824.40 = 31,974.32/x
  3. Step 3: Cross multiply
    98,534x = 147,824.40 × 31,974.32
  4. Step 4: Simplify right side
    98,534x = 4,726,584,669.41
  5. Step 5: Solve for x
    x = 4,726,584,669.41/98,534
  6. Step 6: Final answer
    x = 47,969.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.