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Finding the Fourth Proportional to 170,776.95, 256,159.95 and 77,282.70

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Solution

The fourth proportional to 170,776.95, 256,159.95 and 77,282.70 is: 115,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,776.95 : 256,159.95 = 77,282.70 : x
  2. Step 2: Convert to fraction form
    170,776.95/256,159.95 = 77,282.70/x
  3. Step 3: Cross multiply
    170,776.95x = 256,159.95 × 77,282.70
  4. Step 4: Simplify right side
    170,776.95x = 19,796,732,567.87
  5. Step 5: Solve for x
    x = 19,796,732,567.87/170,776.95
  6. Step 6: Final answer
    x = 115,921.57

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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.