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Finding the Fourth Proportional to 152,275.71, 210,140.94 and 82,424.97

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Solution

The fourth proportional to 152,275.71, 210,140.94 and 82,424.97 is: 113,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,275.71 : 210,140.94 = 82,424.97 : x
  2. Step 2: Convert to fraction form
    152,275.71/210,140.94 = 82,424.97/x
  3. Step 3: Cross multiply
    152,275.71x = 210,140.94 × 82,424.97
  4. Step 4: Simplify right side
    152,275.71x = 17,320,860,675.27
  5. Step 5: Solve for x
    x = 17,320,860,675.27/152,275.71
  6. Step 6: Final answer
    x = 113,746.71

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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.