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Finding the Fourth Proportional to 190,866.40, 286,591.20 and 146,543.20

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Solution

The fourth proportional to 190,866.40, 286,591.20 and 146,543.20 is: 220,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,866.40 : 286,591.20 = 146,543.20 : x
  2. Step 2: Convert to fraction form
    190,866.40/286,591.20 = 146,543.20/x
  3. Step 3: Cross multiply
    190,866.40x = 286,591.20 × 146,543.20
  4. Step 4: Simplify right side
    190,866.40x = 41,997,991,539.84
  5. Step 5: Solve for x
    x = 41,997,991,539.84/190,866.40
  6. Step 6: Final answer
    x = 220,038.68

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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.