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Finding the Fourth Proportional to 152,007.40, 209,910.18 and 101,852.20

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Solution

The fourth proportional to 152,007.40, 209,910.18 and 101,852.20 is: 140,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,007.40 : 209,910.18 = 101,852.20 : x
  2. Step 2: Convert to fraction form
    152,007.40/209,910.18 = 101,852.20/x
  3. Step 3: Cross multiply
    152,007.40x = 209,910.18 × 101,852.20
  4. Step 4: Simplify right side
    152,007.40x = 21,379,813,635.40
  5. Step 5: Solve for x
    x = 21,379,813,635.40/152,007.40
  6. Step 6: Final answer
    x = 140,649.82

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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.