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Finding the Fourth Proportional to 190,897.80, 286,346.70 and 146,747.40

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Solution

The fourth proportional to 190,897.80, 286,346.70 and 146,747.40 is: 220,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,897.80 : 286,346.70 = 146,747.40 : x
  2. Step 2: Convert to fraction form
    190,897.80/286,346.70 = 146,747.40/x
  3. Step 3: Cross multiply
    190,897.80x = 286,346.70 × 146,747.40
  4. Step 4: Simplify right side
    190,897.80x = 42,020,633,723.58
  5. Step 5: Solve for x
    x = 42,020,633,723.58/190,897.80
  6. Step 6: Final answer
    x = 220,121.10

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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.