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Finding the Fourth Proportional to 287,980.95, 431,922.19 and 77,569.68

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Solution

The fourth proportional to 287,980.95, 431,922.19 and 77,569.68 is: 116,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,980.95 : 431,922.19 = 77,569.68 : x
  2. Step 2: Convert to fraction form
    287,980.95/431,922.19 = 77,569.68/x
  3. Step 3: Cross multiply
    287,980.95x = 431,922.19 × 77,569.68
  4. Step 4: Simplify right side
    287,980.95x = 33,504,066,063.20
  5. Step 5: Solve for x
    x = 33,504,066,063.20/287,980.95
  6. Step 6: Final answer
    x = 116,341.26

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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.