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Finding the Fourth Proportional to 101,698.34, 140,340.54 and 56,378.20

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Solution

The fourth proportional to 101,698.34, 140,340.54 and 56,378.20 is: 77,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,698.34 : 140,340.54 = 56,378.20 : x
  2. Step 2: Convert to fraction form
    101,698.34/140,340.54 = 56,378.20/x
  3. Step 3: Cross multiply
    101,698.34x = 140,340.54 × 56,378.20
  4. Step 4: Simplify right side
    101,698.34x = 7,912,147,032.23
  5. Step 5: Solve for x
    x = 7,912,147,032.23/101,698.34
  6. Step 6: Final answer
    x = 77,800.16

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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.