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Finding the Fourth Proportional to 190,889.40, 286,625.70 and 146,566.20

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Solution

The fourth proportional to 190,889.40, 286,625.70 and 146,566.20 is: 220,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,889.40 : 286,625.70 = 146,566.20 : x
  2. Step 2: Convert to fraction form
    190,889.40/286,625.70 = 146,566.20/x
  3. Step 3: Cross multiply
    190,889.40x = 286,625.70 × 146,566.20
  4. Step 4: Simplify right side
    190,889.40x = 42,009,639,671.34
  5. Step 5: Solve for x
    x = 42,009,639,671.34/190,889.40
  6. Step 6: Final answer
    x = 220,073.19

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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.