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Finding the Fourth Proportional to 164,970.14, 247,012.34 and 85,918.30

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Solution

The fourth proportional to 164,970.14, 247,012.34 and 85,918.30 is: 128,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,970.14 : 247,012.34 = 85,918.30 : x
  2. Step 2: Convert to fraction form
    164,970.14/247,012.34 = 85,918.30/x
  3. Step 3: Cross multiply
    164,970.14x = 247,012.34 × 85,918.30
  4. Step 4: Simplify right side
    164,970.14x = 21,222,880,331.82
  5. Step 5: Solve for x
    x = 21,222,880,331.82/164,970.14
  6. Step 6: Final answer
    x = 128,646.80

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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.