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Finding the Fourth Proportional to 210,432, 290,394.42 and 114,938.76

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Solution

The fourth proportional to 210,432, 290,394.42 and 114,938.76 is: 158,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,432 : 290,394.42 = 114,938.76 : x
  2. Step 2: Convert to fraction form
    210,432/290,394.42 = 114,938.76/x
  3. Step 3: Cross multiply
    210,432x = 290,394.42 × 114,938.76
  4. Step 4: Simplify right side
    210,432x = 33,377,574,545.72
  5. Step 5: Solve for x
    x = 33,377,574,545.72/210,432
  6. Step 6: Final answer
    x = 158,614.54

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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.