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Finding the Fourth Proportional to 142,722.15, 214,411.41 and 100,699.08

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Solution

The fourth proportional to 142,722.15, 214,411.41 and 100,699.08 is: 151,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722.15 : 214,411.41 = 100,699.08 : x
  2. Step 2: Convert to fraction form
    142,722.15/214,411.41 = 100,699.08/x
  3. Step 3: Cross multiply
    142,722.15x = 214,411.41 × 100,699.08
  4. Step 4: Simplify right side
    142,722.15x = 21,591,031,728.50
  5. Step 5: Solve for x
    x = 21,591,031,728.50/142,722.15
  6. Step 6: Final answer
    x = 151,280.17

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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.