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Finding the Fourth Proportional to 152,561.76, 210,515.73 and 84,578.10

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Solution

The fourth proportional to 152,561.76, 210,515.73 and 84,578.10 is: 116,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,561.76 : 210,515.73 = 84,578.10 : x
  2. Step 2: Convert to fraction form
    152,561.76/210,515.73 = 84,578.10/x
  3. Step 3: Cross multiply
    152,561.76x = 210,515.73 × 84,578.10
  4. Step 4: Simplify right side
    152,561.76x = 17,805,020,463.51
  5. Step 5: Solve for x
    x = 17,805,020,463.51/152,561.76
  6. Step 6: Final answer
    x = 116,706.97

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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.