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Finding the Fourth Proportional to 152,006.40, 209,768.40 and 84,938.40

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Solution

The fourth proportional to 152,006.40, 209,768.40 and 84,938.40 is: 117,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.40 : 209,768.40 = 84,938.40 : x
  2. Step 2: Convert to fraction form
    152,006.40/209,768.40 = 84,938.40/x
  3. Step 3: Cross multiply
    152,006.40x = 209,768.40 × 84,938.40
  4. Step 4: Simplify right side
    152,006.40x = 17,817,392,266.56
  5. Step 5: Solve for x
    x = 17,817,392,266.56/152,006.40
  6. Step 6: Final answer
    x = 117,214.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.