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Finding the Fourth Proportional to 150,159.78, 207,266.63 and 86,539.95

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Solution

The fourth proportional to 150,159.78, 207,266.63 and 86,539.95 is: 119,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,159.78 : 207,266.63 = 86,539.95 : x
  2. Step 2: Convert to fraction form
    150,159.78/207,266.63 = 86,539.95/x
  3. Step 3: Cross multiply
    150,159.78x = 207,266.63 × 86,539.95
  4. Step 4: Simplify right side
    150,159.78x = 17,936,843,364.17
  5. Step 5: Solve for x
    x = 17,936,843,364.17/150,159.78
  6. Step 6: Final answer
    x = 119,451.72

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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.