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Finding the Fourth Proportional to 191,938.80, 287,908.20 and 142,366.80

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Solution

The fourth proportional to 191,938.80, 287,908.20 and 142,366.80 is: 213,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,938.80 : 287,908.20 = 142,366.80 : x
  2. Step 2: Convert to fraction form
    191,938.80/287,908.20 = 142,366.80/x
  3. Step 3: Cross multiply
    191,938.80x = 287,908.20 × 142,366.80
  4. Step 4: Simplify right side
    191,938.80x = 40,988,569,127.76
  5. Step 5: Solve for x
    x = 40,988,569,127.76/191,938.80
  6. Step 6: Final answer
    x = 213,550.20

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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.