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Finding the Fourth Proportional to 101,921.40, 152,882.10 and 77,038.20

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Solution

The fourth proportional to 101,921.40, 152,882.10 and 77,038.20 is: 115,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,921.40 : 152,882.10 = 77,038.20 : x
  2. Step 2: Convert to fraction form
    101,921.40/152,882.10 = 77,038.20/x
  3. Step 3: Cross multiply
    101,921.40x = 152,882.10 × 77,038.20
  4. Step 4: Simplify right side
    101,921.40x = 11,777,761,796.22
  5. Step 5: Solve for x
    x = 11,777,761,796.22/101,921.40
  6. Step 6: Final answer
    x = 115,557.30

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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.