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Finding the Fourth Proportional to 287,989.56, 431,935.14 and 77,578.32

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Solution

The fourth proportional to 287,989.56, 431,935.14 and 77,578.32 is: 116,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,989.56 : 431,935.14 = 77,578.32 : x
  2. Step 2: Convert to fraction form
    287,989.56/431,935.14 = 77,578.32/x
  3. Step 3: Cross multiply
    287,989.56x = 431,935.14 × 77,578.32
  4. Step 4: Simplify right side
    287,989.56x = 33,508,802,510.16
  5. Step 5: Solve for x
    x = 33,508,802,510.16/287,989.56
  6. Step 6: Final answer
    x = 116,354.23

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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.